256833792 has 108 divisors (see below), whose sum is σ = 779622480. Its totient is φ = 81091584.

The previous prime is 256833781. The next prime is 256833793. The reversal of 256833792 is 297338652.

256833792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×256833792³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (256833793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40843 + ... + 46709.

Almost surely, 2^256833792 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 256833792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389811240).

256833792 is an abundant number, since it is smaller than the sum of its proper divisors (522788688).

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

256833792 is a wasteful number, since it uses less digits than its factorization.

256833792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5908 (or 5891 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 256833792 is about 16026.0348183822. The cubic root of 256833792 is about 635.6490290919.

The spelling of 256833792 in words is "two hundred fifty-six million, eight hundred thirty-three thousand, seven hundred ninety-two".