256630400 has 192 divisors, whose sum is σ = 708288000. Its totient is φ = 91238400.

The previous prime is 256630393. The next prime is 256630411. The reversal of 256630400 is 4036652.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 256630400.

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, 1289501 + ... + 1289699.

It is an arithmetic number, because the mean of its divisors is an integer number (3689000).

Almost surely, 2^256630400 is an apocalyptic number.

256630400 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 256630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354144000).

256630400 is an abundant number, since it is smaller than the sum of its proper divisors (451657600).

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

256630400 is a wasteful number, since it uses less digits than its factorization.

256630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 256630400 is about 16019.6878870969. The cubic root of 256630400 is about 635.4811902347.

The spelling of 256630400 in words is "two hundred fifty-six million, six hundred thirty thousand, four hundred".