268538400 has 432 divisors, whose sum is σ = 1080555840. Its totient is φ = 62208000.

The previous prime is 268538393. The next prime is 268538411. The reversal of 268538400 is 4835862.

It is a super-2 number, since 2×268538400² = 144225744549120000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1778325 + ... + 1778475.

Almost surely, 2^268538400 is an apocalyptic number.

268538400 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 268538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540277920).

268538400 is an abundant number, since it is smaller than the sum of its proper divisors (812017440).

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

268538400 is a wasteful number, since it uses less digits than its factorization.

268538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 268538400 is about 16387.1413004221. The cubic root of 268538400 is about 645.1620288809.

It can be divided in two parts, 26853 and 8400, that added together give a palindrome (35253).

The spelling of 268538400 in words is "two hundred sixty-eight million, five hundred thirty-eight thousand, four hundred".