256153200 has 60 divisors (see below), whose sum is σ = 820547928. Its totient is φ = 68307200.

The previous prime is 256153181. The next prime is 256153207. The reversal of 256153200 is 2351652.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×256153200² = 131228923740480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256153207) by changing a digit.

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, 105531 + ... + 107930.

Almost surely, 2^256153200 is an apocalyptic number.

256153200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256153200 is an abundant number, since it is smaller than the sum of its proper divisors (564394728).

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

256153200 is a wasteful number, since it uses less digits than its factorization.

256153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213482 (or 213471 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 256153200 is about 16004.7867839594. The cubic root of 256153200 is about 635.0870569050.

The spelling of 256153200 in words is "two hundred fifty-six million, one hundred fifty-three thousand, two hundred".