476137260729 has 45 divisors (see below), whose sum is σ = 745612474139. Its totient is φ = 292792256640.

The previous prime is 476137260661. The next prime is 476137260733. The reversal of 476137260729 is 927062731674.

The square root of 476137260729 is 690027.

It is a perfect power (a square), and thus also a powerful number.

476137260729 is a `hidden beast` number, since 4 + 7 + 6 + 1 + 3 + 7 + 2 + 607 + 29 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 418191142329 + 57946118400 = 646677^2 + 240720^2 .

It is not a de Polignac number, because 476137260729 - 2⁹ = 476137260217 is a prime.

It is a super-2 number, since 2×476137260729² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (476137760729) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 349843009 + ... + 349844369.

Almost surely, 2^476137260729 is an apocalyptic number.

476137260729 is the 690027-th square number.

476137260729 is the 345014-th centered octagonal number.

It is an amenable number.

476137260729 is a deficient number, since it is larger than the sum of its proper divisors (269475213410).

476137260729 is an frugal number, since it uses more digits than its factorization.

476137260729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 476137260729 in words is "four hundred seventy-six billion, one hundred thirty-seven million, two hundred sixty thousand, seven hundred twenty-nine".