115340400 has 360 divisors, whose sum is σ = 479731200. Its totient is φ = 25090560.

The previous prime is 115340399. The next prime is 115340411. The reversal of 115340400 is 4043511.

115340400 = 1883² + 1884² + ... + 1914².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 579501 + ... + 579699.

Almost surely, 2^115340400 is an apocalyptic number.

115340400 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 115340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239865600).

115340400 is an abundant number, since it is smaller than the sum of its proper divisors (364390800).

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

115340400 is a wasteful number, since it uses less digits than its factorization.

115340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

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

The square root of 115340400 is about 10739.6647992384. The cubic root of 115340400 is about 486.7737509610.

Adding to 115340400 its reverse (4043511), we get a palindrome (119383911).

The spelling of 115340400 in words is "one hundred fifteen million, three hundred forty thousand, four hundred".