477400761 has 24 divisors (see below), whose sum is σ = 721453824. Its totient is φ = 303887040.

The previous prime is 477400739. The next prime is 477400769. The reversal of 477400761 is 167004774.

It is not a de Polignac number, because 477400761 - 2⁷ = 477400633 is a prime.

It is a super-2 number, since 2×477400761² = 455822973206758242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (477400769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3580 + ... + 31106.

It is an arithmetic number, because the mean of its divisors is an integer number (30060576).

Almost surely, 2^477400761 is an apocalyptic number.

477400761 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

477400761 is a deficient number, since it is larger than the sum of its proper divisors (244053063).

477400761 is a wasteful number, since it uses less digits than its factorization.

477400761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27621 (or 27618 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 477400761 is about 21849.5025343828. The cubic root of 477400761 is about 781.5576810836.

The spelling of 477400761 in words is "four hundred seventy-seven million, four hundred thousand, seven hundred sixty-one".