268590480 has 80 divisors (see below), whose sum is σ = 881622144. Its totient is φ = 67409920.

The previous prime is 268590473. The next prime is 268590493. The reversal of 268590480 is 84095862.

268590480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×268590480³ (a number of 26 digits) contains 333 as substring.

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, 28836 + ... + 36995.

Almost surely, 2^268590480 is an apocalyptic number.

268590480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268590480 is an abundant number, since it is smaller than the sum of its proper divisors (613031664).

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

268590480 is a wasteful number, since it uses less digits than its factorization.

268590480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65864 (or 65858 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 268590480 is about 16388.7302741854. The cubic root of 268590480 is about 645.2037334895.

The spelling of 268590480 in words is "two hundred sixty-eight million, five hundred ninety thousand, four hundred eighty".