256253382 has 80 divisors (see below), whose sum is σ = 715917312. Its totient is φ = 66556080.

The previous prime is 256253363. The next prime is 256253401. The reversal of 256253382 is 283352652.

256253382 is a `hidden beast` number, since 25 + 6 + 253 + 382 = 666.

It is an interprime number because it is at equal distance from previous prime (256253363) and next prime (256253401).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2203 + ... + 22745.

Almost surely, 2^256253382 is an apocalyptic number.

256253382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 256253382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357958656).

256253382 is an abundant number, since it is smaller than the sum of its proper divisors (459663930).

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

256253382 is a wasteful number, since it uses less digits than its factorization.

256253382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20575 (or 20566 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 256253382 is about 16007.9162291661. The cubic root of 256253382 is about 635.1698406958.

The spelling of 256253382 in words is "two hundred fifty-six million, two hundred fifty-three thousand, three hundred eighty-two".