268934400 has 648 divisors, whose sum is σ = 1186174080. Its totient is φ = 56770560.

The previous prime is 268934383. The next prime is 268934401. The reversal of 268934400 is 4439862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268934401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9273586 + ... + 9273614.

Almost surely, 2^268934400 is an apocalyptic number.

268934400 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 268934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593087040).

268934400 is an abundant number, since it is smaller than the sum of its proper divisors (917239680).

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

268934400 is a wasteful number, since it uses less digits than its factorization.

268934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 268934400 is about 16399.2194936222. The cubic root of 268934400 is about 645.4790023975.

The spelling of 268934400 in words is "two hundred sixty-eight million, nine hundred thirty-four thousand, four hundred".