115434400 has 72 divisors (see below), whose sum is σ = 283317804. Its totient is φ = 45926400.

The previous prime is 115434391. The next prime is 115434439. The reversal of 115434400 is 4434511.

It can be written as a sum of positive squares in 6 ways, for example, as 4511376 + 110923024 = 2124^2 + 10532^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250170 + ... + 250630.

Almost surely, 2^115434400 is an apocalyptic number.

115434400 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 115434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141658902).

115434400 is an abundant number, since it is smaller than the sum of its proper divisors (167883404).

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

115434400 is a wasteful number, since it uses less digits than its factorization.

115434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 781 counting only the distinct ones).

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

The square root of 115434400 is about 10744.0402084132. The cubic root of 115434400 is about 486.9059518433.

Adding to 115434400 its reverse (4434511), we get a palindrome (119868911).

The spelling of 115434400 in words is "one hundred fifteen million, four hundred thirty-four thousand, four hundred".