256465600 has 84 divisors (see below), whose sum is σ = 639368800. Its totient is φ = 101237760.

The previous prime is 256465579. The next prime is 256465613. The reversal of 256465600 is 6564652.

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 11 ways as a sum of consecutive naturals, for example, 125386 + ... + 127414.

Almost surely, 2^256465600 is an apocalyptic number.

256465600 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 256465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319684400).

256465600 is an abundant number, since it is smaller than the sum of its proper divisors (382903200).

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

256465600 is a wasteful number, since it uses less digits than its factorization.

256465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 256465600 is about 16014.5433903062. The cubic root of 256465600 is about 635.3451324051.

The spelling of 256465600 in words is "two hundred fifty-six million, four hundred sixty-five thousand, six hundred".