115466400 has 432 divisors, whose sum is σ = 487468800. Its totient is φ = 25159680.

The previous prime is 115466387. The next prime is 115466411. The reversal of 115466400 is 4664511.

115466400 is a `hidden beast` number, since 1 + 15 + 4 + 6 + 640 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1461561 + ... + 1461639.

It is an arithmetic number, because the mean of its divisors is an integer number (1128400).

Almost surely, 2^115466400 is an apocalyptic number.

115466400 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 115466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

115466400 is an abundant number, since it is smaller than the sum of its proper divisors (372002400).

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

115466400 is a wasteful number, since it uses less digits than its factorization.

115466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 115466400 is about 10745.5293029241. The cubic root of 115466400 is about 486.9509400240.

The spelling of 115466400 in words is "one hundred fifteen million, four hundred sixty-six thousand, four hundred".