9408000 has 240 divisors, whose sum is σ = 36386064. Its totient is φ = 2150400.

The previous prime is 9407971. The next prime is 9408011. The reversal of 9408000 is 8049.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1343997 + ... + 1344003.

Almost surely, 2^9408000 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 9408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18193032).

9408000 is an abundant number, since it is smaller than the sum of its proper divisors (26978064).

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

9408000 is an equidigital number, since it uses as much as digits as its factorization.

9408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 9408000 is about 3067.2463220289. The cubic root of 9408000 is about 211.1052835162.

The spelling of 9408000 in words is "nine million, four hundred eight thousand".