904052032 has 112 divisors (see below), whose sum is σ = 2025853200. Its totient is φ = 397393920.

The previous prime is 904051991. The next prime is 904052033. The reversal of 904052032 is 230250409.

It is a happy number.

904052032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 381655296 + 522396736 = 19536^2 + 22856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 904051988 and 904052006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904052033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2147182 + ... + 2147602.

It is an arithmetic number, because the mean of its divisors is an integer number (18087975).

Almost surely, 2^904052032 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 904052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012926600).

904052032 is an abundant number, since it is smaller than the sum of its proper divisors (1121801168).

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

904052032 is a wasteful number, since it uses less digits than its factorization.

904052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 904052032 is about 30067.4580235842. The cubic root of 904052032 is about 966.9361761940.

The spelling of 904052032 in words is "nine hundred four million, fifty-two thousand, thirty-two".