NEW DELHI, Feb 4 (Reuters) - India's official COVID-19 death toll crossed 500,000 on Friday, a level some data analysts said was breached last year but was obscured by inaccurate surveys and unaccounted dead in the hinterlands, where millions remain vulnerable to the disease.

The country, which has the fourth-highest tally of deaths globally, recorded 400,000 deaths by July 2021 after the devastating outbreak from the Delta variant of the coronavirus, according to official data. Some believe the figures were much higher.

"Our study published in the journal Science estimates 3 million COVID deaths in India until mid-2021 using three different databases," Chinmay Tumbe, an assistant professor at the Indian Institute of Management, Ahmedabad, who co-authored the study, told Reuters.

Last month, the Indian government dismissed the study as baseless in a notification saying there is a robust system of birth and death reporting.

India's states record deaths from COVID after collating data from their districts. In the last few months, several states have updated the number of deaths, some under pressure from the country's top court. In most instances, authorities said there were lapses due to delayed registrations and other administrative errors.

India is currently in the midst of a third wave of the coronavirus led by the Omicron variant, which some top experts say is already in community transmission although federal officials say most cases are mild. read more

Last month, the government eased testing norms and told states to drop mandatory testing for contacts of confirmed cases unless they were old or battling other conditions. But, with the number of tests falling, the government issued a revised circular warning states they would miss the spread of the virus.

According to official figures, India's overall number of COVID infections has reached 41.95 million, the second-highest globally behind the United States.

To prevent new surges, the government has vaccinated three-fourths of the eligible 939 million adult population with the mandatory two-dose regime.

Indian officials are carrying out a vaccination drive in remote parts of the country to increase lagging vaccination rates, with health workers going door-to-door to administer shots.

"I make them understand how important vaccines are to escape from coronavirus," health worker Asmita Koladiya, who is forced to take her infant daughter along with her because of a lack of childcare, told Reuters.

In the country's capital Delhi, as new infections of the Omicron variant fell sharply off the peak, authorities further eased curbs and said they will allow schools and colleges to reopen from Monday, and permit private offices to be fully staffed.

The city's sports complexes will also reopen, its Deputy Chief Minister Manish Sisodia said in a webcast on Friday.