115390464 has 96 divisors (see below), whose sum is σ = 351711360. Its totient is φ = 32956416.

The previous prime is 115390427. The next prime is 115390469. The reversal of 115390464 is 464093511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115390469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41667 + ... + 44349.

It is an arithmetic number, because the mean of its divisors is an integer number (3663660).

Almost surely, 2^115390464 is an apocalyptic number.

115390464 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 115390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175855680).

115390464 is an abundant number, since it is smaller than the sum of its proper divisors (236320896).

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

115390464 is an equidigital number, since it uses as much as digits as its factorization.

115390464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 115390464 is about 10741.9953453723. The cubic root of 115390464 is about 486.8441695249.

The spelling of 115390464 in words is "one hundred fifteen million, three hundred ninety thousand, four hundred sixty-four".