256974336 has 160 divisors (see below), whose sum is σ = 788119200. Its totient is φ = 82575360.

The previous prime is 256974313. The next prime is 256974337. The reversal of 256974336 is 633479652.

It is a junction number, because it is equal to n+sod(n) for n = 256974291 and 256974300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256974337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400576 + ... + 401216.

It is an arithmetic number, because the mean of its divisors is an integer number (4925745).

Almost surely, 2^256974336 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 256974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394059600).

256974336 is an abundant number, since it is smaller than the sum of its proper divisors (531144864).

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

256974336 is an equidigital number, since it uses as much as digits as its factorization.

256974336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 675 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 256974336 is about 16030.4190837295. The cubic root of 256974336 is about 635.7649540848.

The spelling of 256974336 in words is "two hundred fifty-six million, nine hundred seventy-four thousand, three hundred thirty-six".