115430544 has 120 divisors (see below), whose sum is σ = 348104952. Its totient is φ = 35573760.

The previous prime is 115430509. The next prime is 115430551. The reversal of 115430544 is 445034511.

It is a happy number.

115430544 is a `hidden beast` number, since 115 + 4 + 3 + 0 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 115347600 = 288^2 + 10740^2 .

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 23 ways as a sum of consecutive naturals, for example, 148942 + ... + 149714.

Almost surely, 2^115430544 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 115430544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174052476).

115430544 is an abundant number, since it is smaller than the sum of its proper divisors (232674408).

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

115430544 is a wasteful number, since it uses less digits than its factorization.

115430544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 115430544 is about 10743.8607585914. The cubic root of 115430544 is about 486.9005302063.

The spelling of 115430544 in words is "one hundred fifteen million, four hundred thirty thousand, five hundred forty-four".