256901904 has 180 divisors, whose sum is σ = 873265536. Its totient is φ = 70164864.

The previous prime is 256901899. The next prime is 256901933. The reversal of 256901904 is 409109652.

256901904 is a `hidden beast` number, since 2 + 569 + 0 + 1 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 161497 + ... + 163079.

Almost surely, 2^256901904 is an apocalyptic number.

256901904 is a gapful number since it is divisible by the number (24) 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 256901904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436632768).

256901904 is an abundant number, since it is smaller than the sum of its proper divisors (616363632).

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

256901904 is a wasteful number, since it uses less digits than its factorization.

256901904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 256901904 is about 16028.1597196933. The cubic root of 256901904 is about 635.7052152342.

The spelling of 256901904 in words is "two hundred fifty-six million, nine hundred one thousand, nine hundred four".