115306464 has 192 divisors, whose sum is σ = 380007936. Its totient is φ = 29804544.

The previous prime is 115306447. The next prime is 115306487. The reversal of 115306464 is 464603511.

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, 585214 + ... + 585410.

It is an arithmetic number, because the mean of its divisors is an integer number (1979208).

Almost surely, 2^115306464 is an apocalyptic number.

115306464 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 115306464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190003968).

115306464 is an abundant number, since it is smaller than the sum of its proper divisors (264701472).

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

115306464 is a wasteful number, since it uses less digits than its factorization.

115306464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 115306464 is about 10738.0847454283. The cubic root of 115306464 is about 486.7260059835.

Adding to 115306464 its reverse (464603511), we get a palindrome (579909975).

The spelling of 115306464 in words is "one hundred fifteen million, three hundred six thousand, four hundred sixty-four".