115414800 has 60 divisors (see below), whose sum is σ = 369715920. Its totient is φ = 30776960.

The previous prime is 115414787. The next prime is 115414837. The reversal of 115414800 is 8414511.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 46890 + ... + 49289.

It is an arithmetic number, because the mean of its divisors is an integer number (6161932).

Almost surely, 2^115414800 is an apocalyptic number.

115414800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115414800 is an abundant number, since it is smaller than the sum of its proper divisors (254301120).

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

115414800 is a wasteful number, since it uses less digits than its factorization.

115414800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96200 (or 96189 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 115414800 is about 10743.1280360982. The cubic root of 115414800 is about 486.8783924768.

The spelling of 115414800 in words is "one hundred fifteen million, four hundred fourteen thousand, eight hundred".