476608320 has 112 divisors (see below), whose sum is σ = 1681398720. Its totient is φ = 127093248.

The previous prime is 476608241. The next prime is 476608333. The reversal of 476608320 is 23806674.

476608320 is a `hidden beast` number, since 47 + 6 + 608 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18942 + ... + 36221.

Almost surely, 2^476608320 is an apocalyptic number.

476608320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

476608320 is an abundant number, since it is smaller than the sum of its proper divisors (1204790400).

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

476608320 is a wasteful number, since it uses less digits than its factorization.

476608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55189 (or 55173 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 476608320 is about 21831.3609287190. The cubic root of 476608320 is about 781.1250038316.

The spelling of 476608320 in words is "four hundred seventy-six million, six hundred eight thousand, three hundred twenty".