256426120 has 64 divisors (see below), whose sum is σ = 599400000. Its totient is φ = 98611968.

The previous prime is 256426111. The next prime is 256426201. The reversal of 256426120 is 21624652.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513631 + ... + 514129.

It is an arithmetic number, because the mean of its divisors is an integer number (9365625).

Almost surely, 2^256426120 is an apocalyptic number.

256426120 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 256426120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299700000).

256426120 is an abundant number, since it is smaller than the sum of its proper divisors (342973880).

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

256426120 is a wasteful number, since it uses less digits than its factorization.

256426120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 256426120 is about 16013.3107132785. The cubic root of 256426120 is about 635.3125293152.

The spelling of 256426120 in words is "two hundred fifty-six million, four hundred twenty-six thousand, one hundred twenty".