256800 has 72 divisors (see below), whose sum is σ = 843696. Its totient is φ = 67840.

The previous prime is 256799. The next prime is 256801. The reversal of 256800 is 8652.

It is a happy number.

256800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256799) and next prime (256801).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (256801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2347 + ... + 2453.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2²⁵⁶⁸⁰⁰ is an apocalyptic number.

256800 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 256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421848).

256800 is an abundant number, since it is smaller than the sum of its proper divisors (586896).

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

256800 is a wasteful number, since it uses less digits than its factorization.

256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 256800 is about 506.7543783728. The cubic root of 256800 is about 63.5621150110.

256800 divided by its product of nonzero digits (480) gives a palindrome (535).

The spelling of 256800 in words is "two hundred fifty-six thousand, eight hundred".