115407360 has 120 divisors (see below), whose sum is σ = 399767940. Its totient is φ = 30769152.

The previous prime is 115407359. The next prime is 115407361. The reversal of 115407360 is 63704511.

It is an interprime number because it is at equal distance from previous prime (115407359) and next prime (115407361).

It can be written as a sum of positive squares in 2 ways, for example, as 114575616 + 831744 = 10704^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (115407361) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20536 + ... + 25544.

Almost surely, 2^115407360 is an apocalyptic number.

115407360 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 115407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199883970).

115407360 is an abundant number, since it is smaller than the sum of its proper divisors (284360580).

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

115407360 is an equidigital number, since it uses as much as digits as its factorization.

115407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 115407360 is about 10742.7817626535. The cubic root of 115407360 is about 486.8679303492.

The spelling of 115407360 in words is "one hundred fifteen million, four hundred seven thousand, three hundred sixty".