268584456 has 64 divisors (see below), whose sum is σ = 807782400. Its totient is φ = 72698688.

The previous prime is 268584451. The next prime is 268584469. The reversal of 268584456 is 654485862.

It is a super-2 number, since 2×268584456² = 144275220009631872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268584451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38880 + ... + 45263.

It is an arithmetic number, because the mean of its divisors is an integer number (12621600).

Almost surely, 2^268584456 is an apocalyptic number.

It is an amenable number.

268584456 is an abundant number, since it is smaller than the sum of its proper divisors (539197944).

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

268584456 is a wasteful number, since it uses less digits than its factorization.

268584456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84178 (or 84174 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The square root of 268584456 is about 16388.5464883253. The cubic root of 268584456 is about 645.1989098681.

The spelling of 268584456 in words is "two hundred sixty-eight million, five hundred eighty-four thousand, four hundred fifty-six".