115466436 has 72 divisors (see below), whose sum is σ = 301817880. Its totient is φ = 37200384.

The previous prime is 115466423. The next prime is 115466437. The reversal of 115466436 is 634664511.

It is a happy number.

115466436 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 6 + 643 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34574400 + 80892036 = 5880^2 + 8994^2 .

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

Its product of digits (51840) is a multiple of the sum of its prime divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 115466436.

It is not an unprimeable number, because it can be changed into a prime (115466437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138870 + ... + 139698.

It is an arithmetic number, because the mean of its divisors is an integer number (4191915).

Almost surely, 2^115466436 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 115466436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150908940).

115466436 is an abundant number, since it is smaller than the sum of its proper divisors (186351444).

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

115466436 is a wasteful number, since it uses less digits than its factorization.

115466436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 960 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 115466436 is about 10745.5309780392. The cubic root of 115466436 is about 486.9509906310.

The spelling of 115466436 in words is "one hundred fifteen million, four hundred sixty-six thousand, four hundred thirty-six".