268451560 has 32 divisors (see below), whose sum is σ = 650480040. Its totient is φ = 99120384.

The previous prime is 268451549. The next prime is 268451591. The reversal of 268451560 is 65154862.

It can be written as a sum of positive squares in 4 ways, for example, as 244421956 + 24029604 = 15634^2 + 4902^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257607 + ... + 258646.

Almost surely, 2^268451560 is an apocalyptic number.

268451560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268451560 is an abundant number, since it is smaller than the sum of its proper divisors (382028480).

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

268451560 is a wasteful number, since it uses less digits than its factorization.

268451560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516277 (or 516273 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 268451560 is about 16384.4914477075. The cubic root of 268451560 is about 645.0924771757.

It can be divided in two parts, 268451 and 560, that added together give a triangular number (269011 = T₇₃₃).

The spelling of 268451560 in words is "two hundred sixty-eight million, four hundred fifty-one thousand, five hundred sixty".