256354560 has 648 divisors, whose sum is σ = 1174694976. Its totient is φ = 50135040.

The previous prime is 256354541. The next prime is 256354589. The reversal of 256354560 is 65453652.

It is a happy number.

256354560 is a `hidden beast` number, since 2 + 56 + 3 + 545 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15079672 + ... + 15079688.

Almost surely, 2^256354560 is an apocalyptic number.

256354560 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 256354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587347488).

256354560 is an abundant number, since it is smaller than the sum of its proper divisors (918340416).

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

256354560 is a wasteful number, since it uses less digits than its factorization.

256354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 256354560 is about 16011.0761662044. The cubic root of 256354560 is about 635.2534256193.

The spelling of 256354560 in words is "two hundred fifty-six million, three hundred fifty-four thousand, five hundred sixty".