268059456 has 280 divisors, whose sum is σ = 929396160. Its totient is φ = 74815488.

The previous prime is 268059443. The next prime is 268059461. The reversal of 268059456 is 654950862.

268059456 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 594 + 56 = 666.

268059456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3011860 + ... + 3011948.

It is an arithmetic number, because the mean of its divisors is an integer number (3319272).

Almost surely, 2^268059456 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 268059456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464698080).

268059456 is an abundant number, since it is smaller than the sum of its proper divisors (661336704).

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

268059456 is an equidigital number, since it uses as much as digits as its factorization.

268059456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 268059456 is about 16372.5213696608. The cubic root of 268059456 is about 644.7782471876.

The spelling of 268059456 in words is "two hundred sixty-eight million, fifty-nine thousand, four hundred fifty-six".