256844 has 12 divisors (see below), whose sum is σ = 513744. Its totient is φ = 110064.

The previous prime is 256831. The next prime is 256873. The reversal of 256844 is 448652.

256844 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

256844 is an admirable number.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

256844 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 4559 + ... + 4614.

It is an arithmetic number, because the mean of its divisors is an integer number (42812).

2²⁵⁶⁸⁴⁴ is an apocalyptic number.

It is an amenable number.

256844 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

256844 is a wasteful number, since it uses less digits than its factorization.

256844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9184 (or 9182 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 256844 is about 506.7977900504. The cubic root of 256844 is about 63.5657450387.

The spelling of 256844 in words is "two hundred fifty-six thousand, eight hundred forty-four".