256795200 has 252 divisors, whose sum is σ = 967320900. Its totient is φ = 64389120.

The previous prime is 256795193. The next prime is 256795211. The reversal of 256795200 is 2597652.

256795200 is a `hidden beast` number, since 2 + 567 + 95 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14930496 + 241864704 = 3864^2 + 15552^2 .

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, 244276 + ... + 245324.

It is an arithmetic number, because the mean of its divisors is an integer number (3838575).

Almost surely, 2^256795200 is an apocalyptic number.

256795200 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 256795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483660450).

256795200 is an abundant number, since it is smaller than the sum of its proper divisors (710525700).

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

256795200 is a wasteful number, since it uses less digits than its factorization.

256795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 256795200 is about 16024.8307323354. The cubic root of 256795200 is about 635.6171898287.

The spelling of 256795200 in words is "two hundred fifty-six million, seven hundred ninety-five thousand, two hundred".