256849056 has 288 divisors, whose sum is σ = 842063040. Its totient is φ = 76640256.

The previous prime is 256849003. The next prime is 256849091. The reversal of 256849056 is 650948652.

256849056 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 (288).

It is a super-2 number, since 2×256849056² = 131942875136182272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3833535 + ... + 3833601.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830).

Almost surely, 2^256849056 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 256849056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421031520).

256849056 is an abundant number, since it is smaller than the sum of its proper divisors (585213984).

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

256849056 is a wasteful number, since it uses less digits than its factorization.

256849056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 256849056 is about 16026.5110364046. The cubic root of 256849056 is about 635.6616213531.

The spelling of 256849056 in words is "two hundred fifty-six million, eight hundred forty-nine thousand, fifty-six".