115268400 has 240 divisors, whose sum is σ = 442367520. Its totient is φ = 28339200.

The previous prime is 115268399. The next prime is 115268407. The reversal of 115268400 is 4862511.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (115268407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139990 + ... + 140810.

It is an arithmetic number, because the mean of its divisors is an integer number (1843198).

Almost surely, 2^115268400 is an apocalyptic number.

115268400 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 115268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221183760).

115268400 is an abundant number, since it is smaller than the sum of its proper divisors (327099120).

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

115268400 is a wasteful number, since it uses less digits than its factorization.

115268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 115268400 is about 10736.3122160265. The cubic root of 115268400 is about 486.6724421241.

The spelling of 115268400 in words is "one hundred fifteen million, two hundred sixty-eight thousand, four hundred".