904983372 has 72 divisors (see below), whose sum is σ = 2500348032. Its totient is φ = 274752000.

The previous prime is 904983361. The next prime is 904983377. The reversal of 904983372 is 273389409.

It is a happy number.

904983372 is a `hidden beast` number, since 90 + 498 + 3 + 3 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (904983377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4879 + ... + 42822.

It is an arithmetic number, because the mean of its divisors is an integer number (34727056).

Almost surely, 2^904983372 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 904983372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250174016).

904983372 is an abundant number, since it is smaller than the sum of its proper divisors (1595364660).

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

904983372 is a wasteful number, since it uses less digits than its factorization.

904983372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47759 (or 47754 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 904983372 is about 30082.9415450019. The cubic root of 904983372 is about 967.2681029860.

The spelling of 904983372 in words is "nine hundred four million, nine hundred eighty-three thousand, three hundred seventy-two".