256490880 has 256 divisors, whose sum is σ = 881280000. Its totient is φ = 63258624.

The previous prime is 256490867. The next prime is 256490881. The reversal of 256490880 is 88094652.

256490880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256490881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2881876 + ... + 2881964.

It is an arithmetic number, because the mean of its divisors is an integer number (3442500).

Almost surely, 2^256490880 is an apocalyptic number.

256490880 is a gapful number since it is divisible by the number (20) 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 256490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640000).

256490880 is an abundant number, since it is smaller than the sum of its proper divisors (624789120).

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

256490880 is a wasteful number, since it uses less digits than its factorization.

256490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 256490880 is about 16015.3326534293. The cubic root of 256490880 is about 635.3660071959.

The spelling of 256490880 in words is "two hundred fifty-six million, four hundred ninety thousand, eight hundred eighty".