256145560 has 128 divisors (see below), whose sum is σ = 659404800. Its totient is φ = 88704000.

The previous prime is 256145551. The next prime is 256145563. The reversal of 256145560 is 65541652.

It is a super-2 number, since 2×256145560² = 131221095815427200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256145563) 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 31 ways as a sum of consecutive naturals, for example, 1213855 + ... + 1214065.

It is an arithmetic number, because the mean of its divisors is an integer number (5151600).

Almost surely, 2^256145560 is an apocalyptic number.

256145560 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 256145560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329702400).

256145560 is an abundant number, since it is smaller than the sum of its proper divisors (403259240).

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

256145560 is a wasteful number, since it uses less digits than its factorization.

256145560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 256145560 is about 16004.5481035861. The cubic root of 256145560 is about 635.0807428276.

The spelling of 256145560 in words is "two hundred fifty-six million, one hundred forty-five thousand, five hundred sixty".