256744320 has 192 divisors, whose sum is σ = 952333200. Its totient is φ = 58662912.

The previous prime is 256744277. The next prime is 256744339. The reversal of 256744320 is 23447652.

256744320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92716 + ... + 95444.

Almost surely, 2^256744320 is an apocalyptic number.

256744320 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 256744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476166600).

256744320 is an abundant number, since it is smaller than the sum of its proper divisors (695588880).

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

256744320 is a wasteful number, since it uses less digits than its factorization.

256744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 256744320 is about 16023.2431174216. The cubic root of 256744320 is about 635.5752078151.

The spelling of 256744320 in words is "two hundred fifty-six million, seven hundred forty-four thousand, three hundred twenty".