256432740 has 72 divisors (see below), whose sum is σ = 757854720. Its totient is φ = 64777536.

The previous prime is 256432739. The next prime is 256432751. The reversal of 256432740 is 47234652.

256432740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 15741 + ... + 27579.

It is an arithmetic number, because the mean of its divisors is an integer number (10525760).

Almost surely, 2^256432740 is an apocalyptic number.

256432740 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 256432740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378927360).

256432740 is an abundant number, since it is smaller than the sum of its proper divisors (501421980).

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

256432740 is a wasteful number, since it uses less digits than its factorization.

256432740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11889 (or 11868 counting only the distinct ones).

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

The square root of 256432740 is about 16013.5174149841. The cubic root of 256432740 is about 635.3179964296.

The spelling of 256432740 in words is "two hundred fifty-six million, four hundred thirty-two thousand, seven hundred forty".