256844800 has 132 divisors (see below), whose sum is σ = 649799680. Its totient is φ = 100638720.

The previous prime is 256844761. The next prime is 256844803. The reversal of 256844800 is 8448652.

It is a self number, because there is not a number n which added to its sum of digits gives 256844800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256844803) 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, 2022337 + ... + 2022463.

Almost surely, 2^256844800 is an apocalyptic number.

256844800 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 256844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324899840).

256844800 is an abundant number, since it is smaller than the sum of its proper divisors (392954880).

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

256844800 is a wasteful number, since it uses less digits than its factorization.

256844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 256844800 is about 16026.3782558631. The cubic root of 256844800 is about 635.6581103535.

The spelling of 256844800 in words is "two hundred fifty-six million, eight hundred forty-four thousand, eight hundred".