9408800 has 72 divisors (see below), whose sum is σ = 24217200. Its totient is φ = 3559680.

The previous prime is 9408799. The next prime is 9408809. The reversal of 9408800 is 88049.

It is not an unprimeable number, because it can be changed into a prime (9408809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14891 + ... + 15509.

It is an arithmetic number, because the mean of its divisors is an integer number (336350).

Almost surely, 2^9408800 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 9408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108600).

9408800 is an abundant number, since it is smaller than the sum of its proper divisors (14808400).

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

9408800 is a wasteful number, since it uses less digits than its factorization.

9408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 9408800 is about 3067.3767293895. The cubic root of 9408800 is about 211.1112670564. Note that the first 3 decimals are identical.

The spelling of 9408800 in words is "nine million, four hundred eight thousand, eight hundred".