*Biden sworn in as the 46th US president

Joe Biden was sworn in as president of the United States on Wednesday, offering a message of unity and restoration to a deeply divided country reeling from a battered economy and a raging coronavirus pandemic that has killed more than 400,000 Americans.

Standing on the steps of the US Capitol two weeks after a mob of then-President Donald Trump's supporters stormed the building, Biden called for a return to civic decency in an inaugural address marking the end of Trump's tempestuous four-year term.

"To overcome these challenges, to restore the soul and secure the future of America, requires so much more than words. It requires the most elusive of all things in a democracy: unity," Biden, a Democrat, said after taking the oath of office.

"We must end this uncivil war that pits red against blue, rural versus urban, conservative versus liberal. We can do this — if we open our souls instead of hardening our hearts."

The themes of Biden's 21-minute speech mirrored those he had put at the centre of his presidential campaign, when he portrayed himself as an empathetic alternative to the divisive Trump, a Republican.

The inauguration itself, one unlike any other in US history, served as a stark reminder of both the tumult that defined the Trump era as well as the pandemic that still threatens the country.

Amid warnings of possible renewed violence, thousands of armed National Guard troops circled the Capitol in an unprecedented show of force.

The National Mall, typically packed with throngs of supporters, instead was filled with nearly 200,000 US flags.

Attending dignitaries — including former US presidents Barack Obama, George W Bush and Bill Clinton — wore masks and sat several feet apart.

Biden's running mate, Kamala Harris, the daughter of immigrants from Jamaica and India, became the first Black person, first woman and first Asian American to serve as vice president after she was sworn in by US Supreme Court Justice Sonia Sotomayor, the court's first Latina member.

The president spoke forcefully about the Jan 6 Capitol siege when Trump backers breached the building, sending lawmakers fleeing for safety and leaving five dead, including a police officer.

But Biden never mentioned his predecessor by name.

The violence prompted the Democratic-controlled US House of Representatives to impeach Trump last week for an unprecedented second time, accusing him of incitement after he exhorted his backers to march on the building to press false claims of election fraud.

"Here we stand, just days after a riotous mob thought they could use violence to silence the will of the people, to stop the work on our democracy, to drive us from this sacred ground," Biden said. "It did not happen; it will never happen. Not today, not tomorrow, not ever."

The norm-defying Trump flouted one last convention on his way out of the White House when he refused to meet with Biden or attend his successor's inauguration, breaking with a political tradition seen as affirming the peaceful transfer of power.

Trump, who never conceded the Nov 3 election, did not mention Biden by name in his final remarks as president on Wednesday morning, when he touted his administration's record.

He then boarded Air Force One for the last time and flew to his Mar-a-Lago retreat in Florida.

Top Republicans, including Vice President Mike Pence and the party's congressional leaders, skipped Trump's send-off and attended Biden's inauguration instead.

Biden takes office at a time of deep national unease, with the country facing what his advisers have described as four compounding crises: the pandemic, the economic downturn, climate change and racial inequality.

He has promised immediate action, including a raft of executive orders on his first day in office.

After a bitter campaign marked by Trump's baseless allegations of election fraud, Biden struck a conciliatory tone rarely heard from Trump, asking Americans who did not vote for him to give him a chance.

"I pledge this to you: I will be a president for all Americans," he said. "And I promise you I will fight as hard for those who did not support me as for those who did."

Although his remarks were directed primarily at domestic problems, Biden also delivered a message to the rest of the world.

He promised to repair alliances frayed by Trump and act as a strong partner for peace, progress and security.

He made no specific mention of high-stakes disputes with North Korea, Iran and China.

World leaders issued congratulatory statements, with several US allies expressing relief at Biden's inauguration after Trump's unpredictable tenure.

Biden's inauguration as the 46th president was the zenith of a five-decade career in public service that included more than three decades in the US Senate and two terms as vice president under Obama.

At 78, he is the oldest US president in history.