256377920 has 56 divisors (see below), whose sum is σ = 625422168. Its totient is φ = 100044800.

The previous prime is 256377883. The next prime is 256377959. The reversal of 256377920 is 29773652.

It can be written as a sum of positive squares in 4 ways, for example, as 2166784 + 254211136 = 1472^2 + 15944^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3350 + ... + 22890.

It is an arithmetic number, because the mean of its divisors is an integer number (11168253).

Almost surely, 2^256377920 is an apocalyptic number.

256377920 is a gapful number since it is divisible by the number (20) 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 256377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312711084).

256377920 is an abundant number, since it is smaller than the sum of its proper divisors (369044248).

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

256377920 is a wasteful number, since it uses less digits than its factorization.

256377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19599 (or 19589 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 41.

The square root of 256377920 is about 16011.8056445861. The cubic root of 256377920 is about 635.2727206005.

The spelling of 256377920 in words is "two hundred fifty-six million, three hundred seventy-seven thousand, nine hundred twenty".