256753152 has 200 divisors, whose sum is σ = 790230672. Its totient is φ = 82944000.

The previous prime is 256753141. The next prime is 256753169. The reversal of 256753152 is 251357652.

256753152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1700277 + ... + 1700427.

Almost surely, 2^256753152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395115336).

256753152 is an abundant number, since it is smaller than the sum of its proper divisors (533477520).

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

256753152 is an equidigital number, since it uses as much as digits as its factorization.

256753152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 256753152 is about 16023.5187146894. The cubic root of 256753152 is about 635.5824956568.

The spelling of 256753152 in words is "two hundred fifty-six million, seven hundred fifty-three thousand, one hundred fifty-two".