115344400 has 30 divisors (see below), whose sum is σ = 277115882. Its totient is φ = 46137600.

The previous prime is 115344389. The next prime is 115344403. The reversal of 115344400 is 4443511.

It can be written as a sum of positive squares in 3 ways, for example, as 25928464 + 89415936 = 5092^2 + 9456^2 .

It is a super-2 number, since 2×115344400² = 26608661222720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115344403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143781 + ... + 144580.

Almost surely, 2^115344400 is an apocalyptic number.

115344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115344400 is an abundant number, since it is smaller than the sum of its proper divisors (161771482).

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

115344400 is a wasteful number, since it uses less digits than its factorization.

115344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288379 (or 288368 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 115344400 is about 10739.8510231753. The cubic root of 115344400 is about 486.7793779934.

Adding to 115344400 its reverse (4443511), we get a palindrome (119787911).

The spelling of 115344400 in words is "one hundred fifteen million, three hundred forty-four thousand, four hundred".