268435456 has 29 divisors (see below), whose sum is σ = 536870911. Its totient is φ = 134217728.

The previous prime is 268435399. The next prime is 268435459. The reversal of 268435456 is 654534862.

The square root of 268435456 is 16384.

It is a perfect power (a square, a biquadrate, a 7-th power, a 14-th power, a 28-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (2!)²⁸.

It is a Duffinian number.

Its product of digits (691200) is a multiple of the sum of its prime divisors (2).

It is an enlightened number because it begins with the concatenation of its prime factors (2).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (268435459) by changing a digit.

In principle, a polygon with 268435456 sides can be constructed with ruler and compass.

It is an impolite number, since it cannot be written as a nontrivial sum of consecutive naturals.

Almost surely, 2^268435456 is an apocalyptic number.

268435456 is the 16384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268435456

268435456 is a deficient number, since it is larger than the sum of its proper divisors (268435455).

268435456 is an frugal number, since it uses more digits than its factorization.

268435456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 2 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The cubic root of 268435456 is about 645.0795775462.

The spelling of 268435456 in words is "two hundred sixty-eight million, four hundred thirty-five thousand, four hundred fifty-six".