256339080 has 160 divisors (see below), whose sum is σ = 876383640. Its totient is φ = 67184640.

The previous prime is 256339043. The next prime is 256339123. The reversal of 256339080 is 80933652.

256339080 is a `hidden beast` number, since 2 + 563 + 3 + 90 + 8 + 0 = 666.

256339080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 217326564 + 39012516 = 14742^2 + 6246^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 196992 + ... + 198288.

Almost surely, 2^256339080 is an apocalyptic number.

256339080 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 256339080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438191820).

256339080 is an abundant number, since it is smaller than the sum of its proper divisors (620044560).

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

256339080 is a wasteful number, since it uses less digits than its factorization.

256339080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 256339080 is about 16010.5927435557. The cubic root of 256339080 is about 635.2406387445.

The spelling of 256339080 in words is "two hundred fifty-six million, three hundred thirty-nine thousand, eighty".