256254768 has 240 divisors, whose sum is σ = 906227712. Its totient is φ = 66211200.

The previous prime is 256254737. The next prime is 256254769. The reversal of 256254768 is 867452652.

256254768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256254768² = 131333012245467648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256254769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1341553 + ... + 1341743.

Almost surely, 2^256254768 is an apocalyptic number.

256254768 is a gapful number since it is divisible by the number (28) 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 256254768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453113856).

256254768 is an abundant number, since it is smaller than the sum of its proper divisors (649972944).

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

256254768 is a wasteful number, since it uses less digits than its factorization.

256254768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 214 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 256254768 is about 16007.9595201887. The cubic root of 256254768 is about 635.1709858434.

The spelling of 256254768 in words is "two hundred fifty-six million, two hundred fifty-four thousand, seven hundred sixty-eight".