256409244 has 288 divisors, whose sum is σ = 862977024. Its totient is φ = 62346240.

The previous prime is 256409233. The next prime is 256409261. The reversal of 256409244 is 442904652.

256409244 is a `hidden beast` number, since 2 + 5 + 6 + 409 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 256409199 and 256409208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3089227 + ... + 3089309.

It is an arithmetic number, because the mean of its divisors is an integer number (2996448).

Almost surely, 2^256409244 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 256409244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431488512).

256409244 is an abundant number, since it is smaller than the sum of its proper divisors (606567780).

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

256409244 is a wasteful number, since it uses less digits than its factorization.

256409244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 256409244 is about 16012.7837679774. The cubic root of 256409244 is about 635.2985918772.

The spelling of 256409244 in words is "two hundred fifty-six million, four hundred nine thousand, two hundred forty-four".