256804992 has 320 divisors, whose sum is σ = 853079040. Its totient is φ = 76308480.

The previous prime is 256804991. The next prime is 256804997. The reversal of 256804992 is 299408652.

It is a super-2 number, since 2×256804992² = 131897607832240128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256804991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5463913 + ... + 5463959.

It is an arithmetic number, because the mean of its divisors is an integer number (2665872).

Almost surely, 2^256804992 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 256804992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426539520).

256804992 is an abundant number, since it is smaller than the sum of its proper divisors (596274048).

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

256804992 is a wasteful number, since it uses less digits than its factorization.

256804992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 256804992 is about 16025.1362552710. The cubic root of 256804992 is about 635.6252687497.

The spelling of 256804992 in words is "two hundred fifty-six million, eight hundred four thousand, nine hundred ninety-two".