268743456 has 72 divisors (see below), whose sum is σ = 765945180. Its totient is φ = 89381376.

The previous prime is 268743439. The next prime is 268743521. The reversal of 268743456 is 654347862.

It can be written as a sum of positive squares in 2 ways, for example, as 227527056 + 41216400 = 15084^2 + 6420^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187350 + ... + 188778.

Almost surely, 2^268743456 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 268743456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382972590).

268743456 is an abundant number, since it is smaller than the sum of its proper divisors (497201724).

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

268743456 is a wasteful number, since it uses less digits than its factorization.

268743456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2087 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 268743456 is about 16393.3967194111. The cubic root of 268743456 is about 645.3262024043.

The spelling of 268743456 in words is "two hundred sixty-eight million, seven hundred forty-three thousand, four hundred fifty-six".