115724400 has 180 divisors, whose sum is σ = 407979096. Its totient is φ = 28019200.

The previous prime is 115724359. The next prime is 115724407. The reversal of 115724400 is 4427511.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115724407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144802 + ... + 145598.

Almost surely, 2^115724400 is an apocalyptic number.

115724400 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 115724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203989548).

115724400 is an abundant number, since it is smaller than the sum of its proper divisors (292254696).

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

115724400 is a wasteful number, since it uses less digits than its factorization.

115724400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 115724400 is about 10757.5275969899. The cubic root of 115724400 is about 487.3133539271.

The spelling of 115724400 in words is "one hundred fifteen million, seven hundred twenty-four thousand, four hundred".