256907712 has 56 divisors (see below), whose sum is σ = 691286400. Its totient is φ = 84180736.

The previous prime is 256907711. The next prime is 256907713. The reversal of 256907712 is 217709652.

256907712 is digitally balanced in base 3, 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 (256907711) and next prime (256907713).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256907711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 22667.

It is an arithmetic number, because the mean of its divisors is an integer number (12344400).

Almost surely, 2^256907712 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 256907712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345643200).

256907712 is an abundant number, since it is smaller than the sum of its proper divisors (434378688).

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

256907712 is a wasteful number, since it uses less digits than its factorization.

256907712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22753 (or 22743 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 256907712 is about 16028.3408997937. The cubic root of 256907712 is about 635.7100058411.

The spelling of 256907712 in words is "two hundred fifty-six million, nine hundred seven thousand, seven hundred twelve".