268557400 has 96 divisors (see below), whose sum is σ = 680202000. Its totient is φ = 98219520.

The previous prime is 268557397. The next prime is 268557409. The reversal of 268557400 is 4755862.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 268557400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268557409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108982 + ... + 111418.

Almost surely, 2^268557400 is an apocalyptic number.

268557400 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 268557400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340101000).

268557400 is an abundant number, since it is smaller than the sum of its proper divisors (411644600).

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

268557400 is a wasteful number, since it uses less digits than its factorization.

268557400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 268557400 is about 16387.7210130024. The cubic root of 268557400 is about 645.1772443205.

The spelling of 268557400 in words is "two hundred sixty-eight million, five hundred fifty-seven thousand, four hundred".