256904800 has 72 divisors (see below), whose sum is σ = 636662376. Its totient is φ = 101207040.

The previous prime is 256904783. The next prime is 256904803. The reversal of 256904800 is 8409652.

It is a happy number.

256904800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256904803) 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 11 ways as a sum of consecutive naturals, for example, 51204 + ... + 55996.

It is an arithmetic number, because the mean of its divisors is an integer number (8842533).

Almost surely, 2^256904800 is an apocalyptic number.

256904800 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 256904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318331188).

256904800 is an abundant number, since it is smaller than the sum of its proper divisors (379757576).

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

256904800 is a wasteful number, since it uses less digits than its factorization.

256904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 256904800 is about 16028.2500604402. The cubic root of 256904800 is about 635.7076039480.

The spelling of 256904800 in words is "two hundred fifty-six million, nine hundred four thousand, eight hundred".