9409000 has 48 divisors (see below), whose sum is σ = 22246380. Its totient is φ = 3724800.

The previous prime is 9408983. The next prime is 9409051. The reversal of 9409000 is 9049.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9409000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 155236 + 9253764 = 394^2 + 3042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96952 + ... + 97048.

Almost surely, 2^9409000 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 9409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11123190).

9409000 is an abundant number, since it is smaller than the sum of its proper divisors (12837380).

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

9409000 is an equidigital number, since it uses as much as digits as its factorization.

9409000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 9409000 is about 3067.4093303633. The cubic root of 9409000 is about 211.1127628885.

The spelling of 9409000 in words is "nine million, four hundred nine thousand".