256325760 has 96 divisors (see below), whose sum is σ = 885144780. Its totient is φ = 68352000.

The previous prime is 256325749. The next prime is 256325761. The reversal of 256325760 is 67523652.

It is a happy number.

256325760 is a `hidden beast` number, since 2 + 56 + 32 + 576 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 256256064 + 69696 = 16008^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 (256325761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16491 + ... + 28010.

Almost surely, 2^256325760 is an apocalyptic number.

256325760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256325760 is an abundant number, since it is smaller than the sum of its proper divisors (628819020).

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

256325760 is a wasteful number, since it uses less digits than its factorization.

256325760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44526 (or 44511 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 256325760 is about 16010.1767635464. The cubic root of 256325760 is about 635.2296356727.

The spelling of 256325760 in words is "two hundred fifty-six million, three hundred twenty-five thousand, seven hundred sixty".