256563360 has 72 divisors (see below), whose sum is σ = 875527380. Its totient is φ = 68416512.

The previous prime is 256563353. The next prime is 256563361. The reversal of 256563360 is 63365652.

256563360 is a `hidden beast` number, since 2 + 565 + 6 + 33 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 245987856 + 10575504 = 15684^2 + 3252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (256563361) 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 11 ways as a sum of consecutive naturals, for example, 87645 + ... + 90524.

Almost surely, 2^256563360 is an apocalyptic number.

256563360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256563360 is an abundant number, since it is smaller than the sum of its proper divisors (618964020).

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

256563360 is a wasteful number, since it uses less digits than its factorization.

256563360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178190 (or 178179 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 256563360 is about 16017.5953251417. The cubic root of 256563360 is about 635.4258494681.

The spelling of 256563360 in words is "two hundred fifty-six million, five hundred sixty-three thousand, three hundred sixty".