115284456 has 144 divisors (see below), whose sum is σ = 372530340. Its totient is φ = 32094720.

The previous prime is 115284431. The next prime is 115284503. The reversal of 115284456 is 654482511.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 105884100 + 9400356 = 10290^2 + 3066^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 115284456.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144250 + ... + 145046.

Almost surely, 2^115284456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115284456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186265170).

115284456 is an abundant number, since it is smaller than the sum of its proper divisors (257245884).

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

115284456 is a wasteful number, since it uses less digits than its factorization.

115284456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 850 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 115284456 is about 10737.0599327749. The cubic root of 115284456 is about 486.6950376488.

The spelling of 115284456 in words is "one hundred fifteen million, two hundred eighty-four thousand, four hundred fifty-six".