256886916 has 96 divisors (see below), whose sum is σ = 741350400. Its totient is φ = 68065920.

The previous prime is 256886899. The next prime is 256886923. The reversal of 256886916 is 619688652.

256886916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256886916² = 131981775223982112, which contains 22 as substring.

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, 28665 + ... + 36543.

It is an arithmetic number, because the mean of its divisors is an integer number (7722400).

Almost surely, 2^256886916 is an apocalyptic number.

256886916 is a gapful number since it is divisible by the number (26) 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 256886916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370675200).

256886916 is an abundant number, since it is smaller than the sum of its proper divisors (484463484).

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

256886916 is a wasteful number, since it uses less digits than its factorization.

256886916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7929 (or 7927 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 256886916 is about 16027.6921607573. The cubic root of 256886916 is about 635.6928523635.

The spelling of 256886916 in words is "two hundred fifty-six million, eight hundred eighty-six thousand, nine hundred sixteen".