256770864 has 320 divisors, whose sum is σ = 916608000. Its totient is φ = 67184640.

The previous prime is 256770853. The next prime is 256770889. The reversal of 256770864 is 468077652.

256770864 is a `hidden beast` number, since 2 + 567 + 7 + 0 + 86 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2355642 + ... + 2355750.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 2^256770864 is an apocalyptic number.

256770864 is a gapful number since it is divisible by the number (24) 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 256770864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458304000).

256770864 is an abundant number, since it is smaller than the sum of its proper divisors (659837136).

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

256770864 is a wasteful number, since it uses less digits than its factorization.

256770864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 256770864 is about 16024.0713927516. The cubic root of 256770864 is about 635.5971104443.

The spelling of 256770864 in words is "two hundred fifty-six million, seven hundred seventy thousand, eight hundred sixty-four".