115518480 has 480 divisors, whose sum is σ = 488540160. Its totient is φ = 22256640.

The previous prime is 115518457. The next prime is 115518509. The reversal of 115518480 is 84815511.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 2457817 + ... + 2457863.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 2^115518480 is an apocalyptic number.

115518480 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 115518480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244270080).

115518480 is an abundant number, since it is smaller than the sum of its proper divisors (373021680).

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

115518480 is a wasteful number, since it uses less digits than its factorization.

115518480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 33.

The square root of 115518480 is about 10747.9523631248. The cubic root of 115518480 is about 487.0241405194.

It can be divided in two parts, 1155 and 18480, that multiplied together give a square (21344400 = 4620²).

The spelling of 115518480 in words is "one hundred fifteen million, five hundred eighteen thousand, four hundred eighty".