904064000 has 176 divisors, whose sum is σ = 2580202560. Its totient is φ = 309657600.

The previous prime is 904063997. The next prime is 904064011. The reversal of 904064000 is 460409.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895496 + ... + 896504.

Almost surely, 2^904064000 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 904064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290101280).

904064000 is an abundant number, since it is smaller than the sum of its proper divisors (1676138560).

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

904064000 is a wasteful number, since it uses less digits than its factorization.

904064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 904064000 is about 30067.6570420776. The cubic root of 904064000 is about 966.9404429989.

The spelling of 904064000 in words is "nine hundred four million, sixty-four thousand".