904385329 has 27 divisors (see below), whose sum is σ = 1011562851. Its totient is φ = 808362240.

The previous prime is 904385311. The next prime is 904385359. The reversal of 904385329 is 923583409.

The square root of 904385329 is 30073.

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

It can be written as a sum of positive squares in 13 ways, for example, as 695640625 + 208744704 = 26375^2 + 14448^2 .

It is not a de Polignac number, because 904385329 - 2⁵ = 904385297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (904385309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14825959 + ... + 14826019.

Almost surely, 2^904385329 is an apocalyptic number.

904385329 is the 30073-rd square number.

904385329 is the 15037-th centered octagonal number.

It is an amenable number.

904385329 is a deficient number, since it is larger than the sum of its proper divisors (107177522).

904385329 is an equidigital number, since it uses as much as digits as its factorization.

904385329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The cubic root of 904385329 is about 967.0549884300.

The spelling of 904385329 in words is "nine hundred four million, three hundred eighty-five thousand, three hundred twenty-nine".