115034400 has 216 divisors, whose sum is σ = 437198580. Its totient is φ = 28293120.

The previous prime is 115034383. The next prime is 115034401. The reversal of 115034400 is 4430511.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 57335184 + 57699216 = 7572^2 + 7596^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (115034401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92986 + ... + 94214.

Almost surely, 2^115034400 is an apocalyptic number.

115034400 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 115034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218599290).

115034400 is an abundant number, since it is smaller than the sum of its proper divisors (322164180).

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

115034400 is a wasteful number, since it uses less digits than its factorization.

115034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 115034400 is about 10725.4090831073. The cubic root of 115034400 is about 486.3428967618.

Adding to 115034400 its reverse (4430511), we get a palindrome (119464911).

The spelling of 115034400 in words is "one hundred fifteen million, thirty-four thousand, four hundred".