904965516 has 432 divisors, whose sum is σ = 3160335360. Its totient is φ = 215550720.

The previous prime is 904965469. The next prime is 904965557. The reversal of 904965516 is 615569409.

It is a happy number.

904965516 is a `hidden beast` number, since 9 + 0 + 4 + 96 + 551 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13506915 + ... + 13506981.

Almost surely, 2^904965516 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 904965516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580167680).

904965516 is an abundant number, since it is smaller than the sum of its proper divisors (2255369844).

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

904965516 is a wasteful number, since it uses less digits than its factorization.

904965516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 904965516 is about 30082.6447640496. The cubic root of 904965516 is about 967.2617413027.

The spelling of 904965516 in words is "nine hundred four million, nine hundred sixty-five thousand, five hundred sixteen".