904725504 has 176 divisors, whose sum is σ = 2745272640. Its totient is φ = 294174720.

The previous prime is 904725491. The next prime is 904725509. The reversal of 904725504 is 405527409.

904725504 is a `hidden beast` number, since 90 + 47 + 25 + 504 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904725509) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1188484 + ... + 1189244.

It is an arithmetic number, because the mean of its divisors is an integer number (15598140).

Almost surely, 2^904725504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904725504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372636320).

904725504 is an abundant number, since it is smaller than the sum of its proper divisors (1840547136).

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

904725504 is a wasteful number, since it uses less digits than its factorization.

904725504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 904725504 is about 30078.6552890916. The cubic root of 904725504 is about 967.1762224080.

The spelling of 904725504 in words is "nine hundred four million, seven hundred twenty-five thousand, five hundred four".