115296480 has 192 divisors, whose sum is σ = 434790720. Its totient is φ = 28366848.

The previous prime is 115296479. The next prime is 115296521. The reversal of 115296480 is 84692511.

115296480 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 9 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55134 + ... + 57186.

It is an arithmetic number, because the mean of its divisors is an integer number (2264535).

Almost surely, 2^115296480 is an apocalyptic number.

115296480 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 115296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217395360).

115296480 is an abundant number, since it is smaller than the sum of its proper divisors (319494240).

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

115296480 is a wasteful number, since it uses less digits than its factorization.

115296480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 115296480 is about 10737.6198479924. The cubic root of 115296480 is about 486.7119575872.

The spelling of 115296480 in words is "one hundred fifteen million, two hundred ninety-six thousand, four hundred eighty".