115394400 has 432 divisors, whose sum is σ = 467970048. Its totient is φ = 26496000.

The previous prime is 115394399. The next prime is 115394417. The reversal of 115394400 is 4493511.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 2455177 + ... + 2455223.

It is an arithmetic number, because the mean of its divisors is an integer number (1083264).

Almost surely, 2^115394400 is an apocalyptic number.

115394400 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 115394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

115394400 is an abundant number, since it is smaller than the sum of its proper divisors (352575648).

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

115394400 is a wasteful number, since it uses less digits than its factorization.

115394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 115394400 is about 10742.1785499963. The cubic root of 115394400 is about 486.8497049241.

The spelling of 115394400 in words is "one hundred fifteen million, three hundred ninety-four thousand, four hundred".