256504560 has 160 divisors (see below), whose sum is σ = 901608960. Its totient is φ = 59802624.

The previous prime is 256504537. The next prime is 256504561. The reversal of 256504560 is 65405652.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256504561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57117 + ... + 61443.

It is an arithmetic number, because the mean of its divisors is an integer number (5635056).

Almost surely, 2^256504560 is an apocalyptic number.

256504560 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 256504560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450804480).

256504560 is an abundant number, since it is smaller than the sum of its proper divisors (645104400).

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

256504560 is a wasteful number, since it uses less digits than its factorization.

256504560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 256504560 is about 16015.7597384576. The cubic root of 256504560 is about 635.3773027924.

The spelling of 256504560 in words is "two hundred fifty-six million, five hundred four thousand, five hundred sixty".