268589400 has 96 divisors (see below), whose sum is σ = 868872960. Its totient is φ = 68506240.

The previous prime is 268589393. The next prime is 268589429. The reversal of 268589400 is 4985862.

It is a congruent number.

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, 4069 + ... + 23531.

It is an arithmetic number, because the mean of its divisors is an integer number (9050760).

Almost surely, 2^268589400 is an apocalyptic number.

268589400 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 268589400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434436480).

268589400 is an abundant number, since it is smaller than the sum of its proper divisors (600283560).

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

268589400 is a wasteful number, since it uses less digits than its factorization.

268589400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19505 (or 19496 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 268589400 is about 16388.6973246808. The cubic root of 268589400 is about 645.2028687021.

The spelling of 268589400 in words is "two hundred sixty-eight million, five hundred eighty-nine thousand, four hundred".