256824256 has 56 divisors (see below), whose sum is σ = 572743584. Its totient is φ = 113372160.

The previous prime is 256824163. The next prime is 256824257. The reversal of 256824256 is 652428652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256824257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12426 + ... + 25846.

It is an arithmetic number, because the mean of its divisors is an integer number (10227564).

Almost surely, 2^256824256 is an apocalyptic number.

256824256 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 256824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286371792).

256824256 is an abundant number, since it is smaller than the sum of its proper divisors (315919328).

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

256824256 is a wasteful number, since it uses less digits than its factorization.

256824256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13469 (or 13459 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The square root of 256824256 is about 16025.7372997313. The cubic root of 256824256 is about 635.6411619753.

The spelling of 256824256 in words is "two hundred fifty-six million, eight hundred twenty-four thousand, two hundred fifty-six".