256096512 has 288 divisors, whose sum is σ = 889548800. Its totient is φ = 71165952.

The previous prime is 256096493. The next prime is 256096523. The reversal of 256096512 is 215690652.

256096512 is a `hidden beast` number, since 2 + 56 + 0 + 96 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×256096512² = 131170846917132288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 256096512 = 135³ + 633³ = 500³ + 508³.

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, 3241689 + ... + 3241767.

Almost surely, 2^256096512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256096512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444774400).

256096512 is an abundant number, since it is smaller than the sum of its proper divisors (633452288).

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

256096512 is an equidigital number, since it uses as much as digits as its factorization.

256096512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 256096512 is about 16003.0157157956. The cubic root of 256096512 is about 635.0402041216.

The spelling of 256096512 in words is "two hundred fifty-six million, ninety-six thousand, five hundred twelve".