256827920 has 20 divisors (see below), whose sum is σ = 597125100. Its totient is φ = 102731136.

The previous prime is 256827919. The next prime is 256827941. The reversal of 256827920 is 29728652.

It can be written as a sum of positive squares in 2 ways, for example, as 38142976 + 218684944 = 6176^2 + 14788^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 1605095 + ... + 1605254.

It is an arithmetic number, because the mean of its divisors is an integer number (29856255).

Almost surely, 2^256827920 is an apocalyptic number.

256827920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256827920 is an abundant number, since it is smaller than the sum of its proper divisors (340297180).

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

256827920 is a wasteful number, since it uses less digits than its factorization.

256827920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210362 (or 3210356 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 256827920 is about 16025.8516154369. The cubic root of 256827920 is about 635.6441847663.

The spelling of 256827920 in words is "two hundred fifty-six million, eight hundred twenty-seven thousand, nine hundred twenty".