115408416 has 48 divisors (see below), whose sum is σ = 303506784. Its totient is φ = 38398464.

The previous prime is 115408409. The next prime is 115408417. The reversal of 115408416 is 614804511.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (115408417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89311 + ... + 90593.

It is an arithmetic number, because the mean of its divisors is an integer number (6323058).

Almost surely, 2^115408416 is an apocalyptic number.

115408416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

115408416 is an abundant number, since it is smaller than the sum of its proper divisors (188098368).

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

115408416 is a wasteful number, since it uses less digits than its factorization.

115408416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 115408416 is about 10742.8309118221. The cubic root of 115408416 is about 486.8694153237.

The spelling of 115408416 in words is "one hundred fifteen million, four hundred eight thousand, four hundred sixteen".