256684860 has 72 divisors (see below), whose sum is σ = 795203136. Its totient is φ = 66990720.

The previous prime is 256684859. The next prime is 256684861. The reversal of 256684860 is 68486652.

256684860 is a `hidden beast` number, since 2 + 566 + 8 + 4 + 86 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (256684859) and next prime (256684861).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256684861) 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, 6711 + ... + 23630.

It is an arithmetic number, because the mean of its divisors is an integer number (11044488).

Almost surely, 2^256684860 is an apocalyptic number.

256684860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256684860 is an abundant number, since it is smaller than the sum of its proper divisors (538518276).

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

256684860 is a wasteful number, since it uses less digits than its factorization.

256684860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30403 (or 30398 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 256684860 is about 16021.3875803565. The cubic root of 256684860 is about 635.5261392584.

The spelling of 256684860 in words is "two hundred fifty-six million, six hundred eighty-four thousand, eight hundred sixty".