256407200 has 216 divisors, whose sum is σ = 755201664. Its totient is φ = 84672000.

The previous prime is 256407157. The next prime is 256407227. The reversal of 256407200 is 2704652.

It is a self number, because there is not a number n which added to its sum of digits gives 256407200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1215095 + ... + 1215305.

It is an arithmetic number, because the mean of its divisors is an integer number (3496304).

Almost surely, 2^256407200 is an apocalyptic number.

256407200 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 256407200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377600832).

256407200 is an abundant number, since it is smaller than the sum of its proper divisors (498794464).

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

256407200 is a wasteful number, since it uses less digits than its factorization.

256407200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 256407200 is about 16012.7199438446. The cubic root of 256407200 is about 635.2969037507.

The spelling of 256407200 in words is "two hundred fifty-six million, four hundred seven thousand, two hundred".