904788864 has 384 divisors, whose sum is σ = 3179217600. Its totient is φ = 241532928.

The previous prime is 904788851. The next prime is 904788877. The reversal of 904788864 is 468887409.

904788864 is a `hidden beast` number, since 90 + 478 + 8 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (904788851) and next prime (904788877).

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 904788864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12394332 + ... + 12394404.

Almost surely, 2^904788864 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 904788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589608800).

904788864 is an abundant number, since it is smaller than the sum of its proper divisors (2274428736).

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

904788864 is a wasteful number, since it uses less digits than its factorization.

904788864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 904788864 is about 30079.7085092259. The cubic root of 904788864 is about 967.1987997366.

The spelling of 904788864 in words is "nine hundred four million, seven hundred eighty-eight thousand, eight hundred sixty-four".