256284864 has 224 divisors, whose sum is σ = 836371200. Its totient is φ = 76308480.

The previous prime is 256284841. The next prime is 256284871. The reversal of 256284864 is 468482652.

256284864 is a `hidden beast` number, since 2 + 562 + 8 + 4 + 86 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1843707 + ... + 1843845.

It is an arithmetic number, because the mean of its divisors is an integer number (3733800).

Almost surely, 2^256284864 is an apocalyptic number.

256284864 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 256284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418185600).

256284864 is an abundant number, since it is smaller than the sum of its proper divisors (580086336).

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

256284864 is a wasteful number, since it uses less digits than its factorization.

256284864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 256284864 is about 16008.8995249517. The cubic root of 256284864 is about 635.1958508867.

The spelling of 256284864 in words is "two hundred fifty-six million, two hundred eighty-four thousand, eight hundred sixty-four".