256826400 has 144 divisors (see below), whose sum is σ = 844258464. Its totient is φ = 67809280.

The previous prime is 256826389. The next prime is 256826411. The reversal of 256826400 is 4628652.

256826400 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 (256826389) and next prime (256826411).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270727 + ... + 271673.

It is an arithmetic number, because the mean of its divisors is an integer number (5862906).

Almost surely, 2^256826400 is an apocalyptic number.

256826400 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 256826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422129232).

256826400 is an abundant number, since it is smaller than the sum of its proper divisors (587432064).

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

256826400 is a wasteful number, since it uses less digits than its factorization.

256826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 256826400 is about 16025.8041919899. The cubic root of 256826400 is about 635.6429307735.

The spelling of 256826400 in words is "two hundred fifty-six million, eight hundred twenty-six thousand, four hundred".