268724400 has 120 divisors (see below), whose sum is σ = 983817984. Its totient is φ = 61420800.

The previous prime is 268724383. The next prime is 268724419. The reversal of 268724400 is 4427862.

It is a tau number, because it is divible by the number of its divisors (120).

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, 7596 + ... + 24395.

Almost surely, 2^268724400 is an apocalyptic number.

268724400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268724400 is an abundant number, since it is smaller than the sum of its proper divisors (715093584).

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

268724400 is a wasteful number, since it uses less digits than its factorization.

268724400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32019 (or 32008 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 268724400 is about 16392.8154994803. The cubic root of 268724400 is about 645.3109491625.

The spelling of 268724400 in words is "two hundred sixty-eight million, seven hundred twenty-four thousand, four hundred".