904470368256 has 1248 divisors, whose sum is σ = 3457503665280. Its totient is φ = 231425703936.

The previous prime is 904470368201. The next prime is 904470368309. The reversal of 904470368256 is 652863074409.

904470368256 is a `hidden beast` number, since 90 + 4 + 470 + 3 + 6 + 82 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 2606542675 + ... + 2606543021.

Almost surely, 2^904470368256 is an apocalyptic number.

904470368256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904470368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728751832640).

904470368256 is an abundant number, since it is smaller than the sum of its proper divisors (2553033297024).

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

904470368256 is a wasteful number, since it uses less digits than its factorization.

904470368256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 904470368256 in words is "nine hundred four billion, four hundred seventy million, three hundred sixty-eight thousand, two hundred fifty-six".