256978344 has 256 divisors, whose sum is σ = 829440000. Its totient is φ = 66044160.

The previous prime is 256978343. The next prime is 256978361. The reversal of 256978344 is 443879652.

256978344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 256978293 and 256978302.

It is not an unprimeable number, because it can be changed into a prime (256978343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4848622 + ... + 4848674.

It is an arithmetic number, because the mean of its divisors is an integer number (3240000).

Almost surely, 2^256978344 is an apocalyptic number.

256978344 is a gapful number since it is divisible by the number (24) 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 256978344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414720000).

256978344 is an abundant number, since it is smaller than the sum of its proper divisors (572461656).

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

256978344 is a wasteful number, since it uses less digits than its factorization.

256978344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 256978344 is about 16030.5440955696. The cubic root of 256978344 is about 635.7682593860.

The spelling of 256978344 in words is "two hundred fifty-six million, nine hundred seventy-eight thousand, three hundred forty-four".