115038456 has 192 divisors, whose sum is σ = 351177120. Its totient is φ = 31088640.

The previous prime is 115038449. The next prime is 115038493. The reversal of 115038456 is 654830511.

115038456 = 46² + 47² + ... + 701².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2805796 + ... + 2805836.

Almost surely, 2^115038456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115038456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175588560).

115038456 is an abundant number, since it is smaller than the sum of its proper divisors (236138664).

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

115038456 is a wasteful number, since it uses less digits than its factorization.

115038456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 115038456 is about 10725.5981651375. The cubic root of 115038456 is about 486.3486126857.

Adding to 115038456 its reverse (654830511), we get a palindrome (769868967).

The spelling of 115038456 in words is "one hundred fifteen million, thirty-eight thousand, four hundred fifty-six".