268659456 has 144 divisors (see below), whose sum is σ = 782933760. Its totient is φ = 81285120.

The previous prime is 268659439. The next prime is 268659467. The reversal of 268659456 is 654956862.

268659456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 268659399 and 268659408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708675 + ... + 709053.

It is an arithmetic number, because the mean of its divisors is an integer number (5437040).

Almost surely, 2^268659456 is an apocalyptic number.

268659456 is a gapful number since it is divisible by the number (26) 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 268659456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391466880).

268659456 is an abundant number, since it is smaller than the sum of its proper divisors (514274304).

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

268659456 is a wasteful number, since it uses less digits than its factorization.

268659456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The square root of 268659456 is about 16390.8345120070. The cubic root of 268659456 is about 645.2589597750.

The spelling of 268659456 in words is "two hundred sixty-eight million, six hundred fifty-nine thousand, four hundred fifty-six".