268937400 has 192 divisors, whose sum is σ = 907084800. Its totient is φ = 65664000.

The previous prime is 268937377. The next prime is 268937483. The reversal of 268937400 is 4739862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353020 + ... + 353780.

It is an arithmetic number, because the mean of its divisors is an integer number (4724400).

Almost surely, 2^268937400 is an apocalyptic number.

268937400 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 268937400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453542400).

268937400 is an abundant number, since it is smaller than the sum of its proper divisors (638147400).

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

268937400 is a wasteful number, since it uses less digits than its factorization.

268937400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 268937400 is about 16399.3109611349. The cubic root of 268937400 is about 645.4814025241.

The spelling of 268937400 in words is "two hundred sixty-eight million, nine hundred thirty-seven thousand, four hundred".