115718400 has 486 divisors, whose sum is σ = 493003602. Its totient is φ = 25804800.

The previous prime is 115718377. The next prime is 115718413. The reversal of 115718400 is 4817511.

115718400 is a `hidden beast` number, since 11 + 571 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 112896 + 115605504 = 336^2 + 10752^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2822380 + ... + 2822420.

Almost surely, 2^115718400 is an apocalyptic number.

115718400 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 115718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246501801).

115718400 is an abundant number, since it is smaller than the sum of its proper divisors (377285202).

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

115718400 is a wasteful number, since it uses less digits than its factorization.

115718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 115718400 is about 10757.2487188872. The cubic root of 115718400 is about 487.3049318178.

The spelling of 115718400 in words is "one hundred fifteen million, seven hundred eighteen thousand, four hundred".