256615440 has 160 divisors (see below), whose sum is σ = 820114176. Its totient is φ = 66355200.

The previous prime is 256615423. The next prime is 256615451. The reversal of 256615440 is 44516652.

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, 1699365 + ... + 1699515.

Almost surely, 2^256615440 is an apocalyptic number.

256615440 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 256615440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410057088).

256615440 is an abundant number, since it is smaller than the sum of its proper divisors (563498736).

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

256615440 is a wasteful number, since it uses less digits than its factorization.

256615440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 256615440 is about 16019.2209548405. The cubic root of 256615440 is about 635.4688417583.

The spelling of 256615440 in words is "two hundred fifty-six million, six hundred fifteen thousand, four hundred forty".