115958304 has 360 divisors, whose sum is σ = 437987088. Its totient is φ = 29756160.

The previous prime is 115958281. The next prime is 115958317. The reversal of 115958304 is 403859511.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1397047 + ... + 1397129.

Almost surely, 2^115958304 is an apocalyptic number.

115958304 is a gapful number since it is divisible by the number (14) 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 115958304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218993544).

115958304 is an abundant number, since it is smaller than the sum of its proper divisors (322028784).

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

115958304 is a wasteful number, since it uses less digits than its factorization.

115958304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 115958304 is about 10768.3937520876. The cubic root of 115958304 is about 487.6414548090.

The spelling of 115958304 in words is "one hundred fifteen million, nine hundred fifty-eight thousand, three hundred four".