115446408 has 128 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 29733120.

The previous prime is 115446403. The next prime is 115446479. The reversal of 115446408 is 804644511.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (115446403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 330618 + ... + 330966.

It is an arithmetic number, because the mean of its divisors is an integer number (2835000).

Almost surely, 2^115446408 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 115446408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

115446408 is an abundant number, since it is smaller than the sum of its proper divisors (247433592).

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

115446408 is a wasteful number, since it uses less digits than its factorization.

115446408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 115446408 is about 10744.5990153193. The cubic root of 115446408 is about 486.9228346326.

The spelling of 115446408 in words is "one hundred fifteen million, four hundred forty-six thousand, four hundred eight".