475152804 has 135 divisors (see below), whose sum is σ = 1453342737. Its totient is φ = 134973216.

The previous prime is 475152773. The next prime is 475152823. The reversal of 475152804 is 408251574.

The square root of 475152804 is 21798.

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., 432224100 + 42928704 = 20790^2 + 6552^2 .

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

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 44 ways as a sum of consecutive naturals, for example, 2746462 + ... + 2746634.

Almost surely, 2^475152804 is an apocalyptic number.

475152804 is the 21798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475152804

475152804 is an abundant number, since it is smaller than the sum of its proper divisors (978189933).

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

475152804 is a wasteful number, since it uses less digits than its factorization.

475152804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The cubic root of 475152804 is about 780.3290327799.

Multiplying 475152804 by its sum of digits (36), we get a square (17105500944 = 130788²).

475152804 divided by its sum of digits (36) gives a square (13198689 = 3633²).

The spelling of 475152804 in words is "four hundred seventy-five million, one hundred fifty-two thousand, eight hundred four".