115752400 has 30 divisors (see below), whose sum is σ = 278096102. Its totient is φ = 46300800.

The previous prime is 115752379. The next prime is 115752407. The reversal of 115752400 is 4257511.

It can be written as a sum of positive squares in 3 ways, for example, as 28815424 + 86936976 = 5368^2 + 9324^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115752407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144291 + ... + 145090.

Almost surely, 2^115752400 is an apocalyptic number.

115752400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115752400 is an abundant number, since it is smaller than the sum of its proper divisors (162343702).

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

115752400 is a wasteful number, since it uses less digits than its factorization.

115752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289399 (or 289388 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 115752400 is about 10758.8289325558. The cubic root of 115752400 is about 487.3526532555.

The spelling of 115752400 in words is "one hundred fifteen million, seven hundred fifty-two thousand, four hundred".