268485800 has 48 divisors (see below), whose sum is σ = 680983200. Its totient is φ = 97630400.

The previous prime is 268485797. The next prime is 268485869. The reversal of 268485800 is 8584862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58820 + ... + 63219.

It is an arithmetic number, because the mean of its divisors is an integer number (14187150).

Almost surely, 2^268485800 is an apocalyptic number.

268485800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268485800 is an abundant number, since it is smaller than the sum of its proper divisors (412497400).

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

268485800 is a wasteful number, since it uses less digits than its factorization.

268485800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122066 (or 122057 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 268485800 is about 16385.5363049245. The cubic root of 268485800 is about 645.1199023934.

The spelling of 268485800 in words is "two hundred sixty-eight million, four hundred eighty-five thousand, eight hundred".