256546656 has 48 divisors (see below), whose sum is σ = 748263600. Its totient is φ = 85515264.

The previous prime is 256546649. The next prime is 256546657. The reversal of 256546656 is 656645652.

It is a happy number.

256546656 is a `hidden beast` number, since 2 + 56 + 546 + 6 + 56 = 666.

256546656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256546657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147601 + ... + 149328.

It is an arithmetic number, because the mean of its divisors is an integer number (15588825).

Almost surely, 2^256546656 is an apocalyptic number.

It is an amenable number.

256546656 is an abundant number, since it is smaller than the sum of its proper divisors (491716944).

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

256546656 is a wasteful number, since it uses less digits than its factorization.

256546656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296948 (or 296934 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 256546656 is about 16017.0738900712. The cubic root of 256546656 is about 635.4120590035.

The spelling of 256546656 in words is "two hundred fifty-six million, five hundred forty-six thousand, six hundred fifty-six".