115432416 has 144 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 34479360.

The previous prime is 115432399. The next prime is 115432433. The reversal of 115432416 is 614234511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115432399) and next prime (115432433).

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 115432416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262725 + ... + 263163.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2^115432416 is an apocalyptic number.

115432416 is a gapful number since it is divisible by the number (16) 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 115432416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

115432416 is an abundant number, since it is smaller than the sum of its proper divisors (247810464).

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

115432416 is a wasteful number, since it uses less digits than its factorization.

115432416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 538 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 115432416 is about 10743.9478777589. The cubic root of 115432416 is about 486.9031623024.

Adding to 115432416 its reverse (614234511), we get a palindrome (729666927).

The spelling of 115432416 in words is "one hundred fifteen million, four hundred thirty-two thousand, four hundred sixteen".