475588864 has 81 divisors (see below), whose sum is σ = 1004547817. Its totient is φ = 224709632.

The previous prime is 475588853. The next prime is 475588877. The reversal of 475588864 is 468885574.

The square root of 475588864 is 21808.

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

It can be written as a sum of positive squares in only one way, i.e., 249387264 + 226201600 = 15792^2 + 15040^2 .

It is a Duffinian number.

Its product of digits (8601600) is a multiple of the sum of its prime factors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10118889 + ... + 10118935.

Almost surely, 2^475588864 is an apocalyptic number.

475588864 is the 21808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475588864

475588864 is an abundant number, since it is smaller than the sum of its proper divisors (528958953).

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

475588864 is an frugal number, since it uses more digits than its factorization.

475588864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 78 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 55.

The cubic root of 475588864 is about 780.5676691629.

The spelling of 475588864 in words is "four hundred seventy-five million, five hundred eighty-eight thousand, eight hundred sixty-four".