256474560 has 112 divisors (see below), whose sum is σ = 817510176. Its totient is φ = 68124672.

The previous prime is 256474531. The next prime is 256474567. The reversal of 256474560 is 65474652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256474567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415372 + ... + 415988.

It is an arithmetic number, because the mean of its divisors is an integer number (7299198).

Almost surely, 2^256474560 is an apocalyptic number.

256474560 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 256474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408755088).

256474560 is an abundant number, since it is smaller than the sum of its proper divisors (561035616).

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

256474560 is a wasteful number, since it uses less digits than its factorization.

256474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 256474560 is about 16014.8231335847. The cubic root of 256474560 is about 635.3525312221.

The spelling of 256474560 in words is "two hundred fifty-six million, four hundred seventy-four thousand, five hundred sixty".