476309920 has 48 divisors (see below), whose sum is σ = 1164096360. Its totient is φ = 183952384.

The previous prime is 476309903. The next prime is 476309957. The reversal of 476309920 is 29903674.

It can be written as a sum of positive squares in 4 ways, for example, as 404331664 + 71978256 = 20108^2 + 8484^2 .

It is a super-2 number, since 2×476309920² = 453742279780812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46687 + ... + 55966.

Almost surely, 2^476309920 is an apocalyptic number.

476309920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

476309920 is an abundant number, since it is smaller than the sum of its proper divisors (687786440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

476309920 is a wasteful number, since it uses less digits than its factorization.

476309920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102697 (or 102689 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 476309920 is about 21824.5256534936. The cubic root of 476309920 is about 780.9619514516.

The spelling of 476309920 in words is "four hundred seventy-six million, three hundred nine thousand, nine hundred twenty".