115404800 has 234 divisors, whose sum is σ = 347363928. Its totient is φ = 37847040.

The previous prime is 115404781. The next prime is 115404811. The reversal of 115404800 is 8404511.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5017589 + ... + 5017611.

Almost surely, 2^115404800 is an apocalyptic number.

115404800 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 115404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173681964).

115404800 is an abundant number, since it is smaller than the sum of its proper divisors (231959128).

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

115404800 is an equidigital number, since it uses as much as digits as its factorization.

115404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 115404800 is about 10742.6626122205. The cubic root of 115404800 is about 486.8643303734.

Multiplying 115404800 by its sum of digits (23), we get a square (2654310400 = 51520²).

115404800 divided by its sum of digits (23) gives a square (5017600 = 2240²).

The spelling of 115404800 in words is "one hundred fifteen million, four hundred four thousand, eight hundred".