904028800 has 192 divisors, whose sum is σ = 2376812160. Its totient is φ = 339046400.

The previous prime is 904028767. The next prime is 904028813. The reversal of 904028800 is 8820409.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5225514 + ... + 5225686.

It is an arithmetic number, because the mean of its divisors is an integer number (12379230).

Almost surely, 2^904028800 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 904028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188406080).

904028800 is an abundant number, since it is smaller than the sum of its proper divisors (1472783360).

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

904028800 is a wasteful number, since it uses less digits than its factorization.

904028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 904028800 is about 30067.0716898071. The cubic root of 904028800 is about 966.9278934651.

The spelling of 904028800 in words is "nine hundred four million, twenty-eight thousand, eight hundred".