256272120 has 128 divisors (see below), whose sum is σ = 920001600. Its totient is φ = 63078912.

The previous prime is 256272109. The next prime is 256272173. The reversal of 256272120 is 21272652.

256272120 is a `hidden beast` number, since 25 + 627 + 2 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4914 + ... + 23166.

Almost surely, 2^256272120 is an apocalyptic number.

256272120 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 256272120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460000800).

256272120 is an abundant number, since it is smaller than the sum of its proper divisors (663729480).

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

256272120 is a wasteful number, since it uses less digits than its factorization.

256272120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18286 (or 18276 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 256272120 is about 16008.5014913951. The cubic root of 256272120 is about 635.1853221466.

The spelling of 256272120 in words is "two hundred fifty-six million, two hundred seventy-two thousand, one hundred twenty".