268476200 has 96 divisors (see below), whose sum is σ = 662067000. Its totient is φ = 101068800.

The previous prime is 268476179. The next prime is 268476227. The reversal of 268476200 is 2674862.

It can be written as a sum of positive squares in 12 ways, for example, as 18267076 + 250209124 = 4274^2 + 15818^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237236 + ... + 238364.

Almost surely, 2^268476200 is an apocalyptic number.

268476200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268476200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331033500).

268476200 is an abundant number, since it is smaller than the sum of its proper divisors (393590800).

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

268476200 is a wasteful number, since it uses less digits than its factorization.

268476200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 268476200 is about 16385.2433610246. The cubic root of 268476200 is about 645.1122133152.

The spelling of 268476200 in words is "two hundred sixty-eight million, four hundred seventy-six thousand, two hundred".