115200400 has 60 divisors (see below), whose sum is σ = 316315072. Its totient is φ = 39496320.

The previous prime is 115200377. The next prime is 115200409. The reversal of 115200400 is 4002511.

It is a super-2 number, since 2×115200400² = 26542264320320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115200409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17772 + ... + 23371.

Almost surely, 2^115200400 is an apocalyptic number.

115200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115200400 is an abundant number, since it is smaller than the sum of its proper divisors (201114672).

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

115200400 is a wasteful number, since it uses less digits than its factorization.

115200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41168 (or 41157 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 115200400 is about 10733.1449258826. The cubic root of 115200400 is about 486.5767228121.

Adding to 115200400 its reverse (4002511), we get a palindrome (119202911).

It can be divided in two parts, 115200 and 400, that added together give a square (115600 = 340²).

The spelling of 115200400 in words is "one hundred fifteen million, two hundred thousand, four hundred".