9005480 has 64 divisors (see below), whose sum is σ = 22438080. Its totient is φ = 3225600.

The previous prime is 9005473. The next prime is 9005497. The reversal of 9005480 is 845009.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42575 + ... + 42785.

It is an arithmetic number, because the mean of its divisors is an integer number (350595).

Almost surely, 2^9005480 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 9005480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11219040).

9005480 is an abundant number, since it is smaller than the sum of its proper divisors (13432600).

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

9005480 is a wasteful number, since it uses less digits than its factorization.

9005480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 9005480 is about 3000.9131943460. The cubic root of 9005480 is about 208.0505917370.

The spelling of 9005480 in words is "nine million, five thousand, four hundred eighty".