256241556 has 144 divisors (see below), whose sum is σ = 704471040. Its totient is φ = 81375840.

The previous prime is 256241549. The next prime is 256241569. The reversal of 256241556 is 655142652.

256241556 is a `hidden beast` number, since 2 + 5 + 62 + 41 + 556 = 666.

It is a super-2 number, since 2×256241556² = 131319470042602272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 256241556.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3243525 + ... + 3243603.

It is an arithmetic number, because the mean of its divisors is an integer number (4892160).

Almost surely, 2^256241556 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 256241556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352235520).

256241556 is an abundant number, since it is smaller than the sum of its proper divisors (448229484).

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

256241556 is a wasteful number, since it uses less digits than its factorization.

256241556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 256241556 is about 16007.5468451603. The cubic root of 256241556 is about 635.1600695935.

The spelling of 256241556 in words is "two hundred fifty-six million, two hundred forty-one thousand, five hundred fifty-six".