115358400 has 126 divisors (see below), whose sum is σ = 410062172. Its totient is φ = 30758400.

The previous prime is 115358387. The next prime is 115358401. The reversal of 115358400 is 4853511.

It is not an unprimeable number, because it can be changed into a prime (115358401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10395 + ... + 18405.

Almost surely, 2^115358400 is an apocalyptic number.

115358400 is a gapful number since it is divisible by the number (10) 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 115358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205031086).

115358400 is an abundant number, since it is smaller than the sum of its proper divisors (294703772).

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

115358400 is a wasteful number, since it uses less digits than its factorization.

115358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8039 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 115358400 is about 10740.5027815275. The cubic root of 115358400 is about 486.7990715823.

The spelling of 115358400 in words is "one hundred fifteen million, three hundred fifty-eight thousand, four hundred".