256457160 has 96 divisors (see below), whose sum is σ = 852920640. Its totient is φ = 66794112.

The previous prime is 256457143. The next prime is 256457167. The reversal of 256457160 is 61754652.

It is a happy number.

256457160 is a `hidden beast` number, since 2 + 5 + 645 + 7 + 1 + 6 + 0 = 666.

256457160 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 (256457167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7197 + ... + 23763.

It is an arithmetic number, because the mean of its divisors is an integer number (8884590).

Almost surely, 2^256457160 is an apocalyptic number.

256457160 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 256457160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426460320).

256457160 is an abundant number, since it is smaller than the sum of its proper divisors (596463480).

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

256457160 is a wasteful number, since it uses less digits than its factorization.

256457160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16627 (or 16620 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 256457160 is about 16014.2798776592. The cubic root of 256457160 is about 635.3381628262.

The spelling of 256457160 in words is "two hundred fifty-six million, four hundred fifty-seven thousand, one hundred sixty".