256253240 has 64 divisors (see below), whose sum is σ = 613992960. Its totient is φ = 95918080.

The previous prime is 256253237. The next prime is 256253243. The reversal of 256253240 is 42352652.

256253240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256253237) and next prime (256253243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256253243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128894 + ... + 130866.

It is an arithmetic number, because the mean of its divisors is an integer number (9593640).

Almost surely, 2^256253240 is an apocalyptic number.

256253240 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 256253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306996480).

256253240 is an abundant number, since it is smaller than the sum of its proper divisors (357739720).

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

256253240 is a wasteful number, since it uses less digits than its factorization.

256253240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 256253240 is about 16007.9117938599. The cubic root of 256253240 is about 635.1697233717.

The spelling of 256253240 in words is "two hundred fifty-six million, two hundred fifty-three thousand, two hundred forty".