268951200 has 216 divisors, whose sum is σ = 1018809792. Its totient is φ = 61447680.

The previous prime is 268951171. The next prime is 268951217. The reversal of 268951200 is 2159862.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116457 + ... + 118743.

It is an arithmetic number, because the mean of its divisors is an integer number (4716712).

Almost surely, 2^268951200 is an apocalyptic number.

268951200 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 268951200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509404896).

268951200 is an abundant number, since it is smaller than the sum of its proper divisors (749858592).

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

268951200 is a wasteful number, since it uses less digits than its factorization.

268951200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 268951200 is about 16399.7317051225. The cubic root of 268951200 is about 645.4924428765.

The spelling of 268951200 in words is "two hundred sixty-eight million, nine hundred fifty-one thousand, two hundred".