9003305472 has 320 divisors, whose sum is σ = 29226700800. Its totient is φ = 2457219072.

The previous prime is 9003305429. The next prime is 9003305501. The reversal of 9003305472 is 2745033009.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12117133 + ... + 12117875.

It is an arithmetic number, because the mean of its divisors is an integer number (91333440).

Almost surely, 2^9003305472 is an apocalyptic number.

9003305472 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9003305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14613350400).

9003305472 is an abundant number, since it is smaller than the sum of its proper divisors (20223395328).

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

9003305472 is an equidigital number, since it uses as much as digits as its factorization.

9003305472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 9003305472 is about 94885.7495728415. The cubic root of 9003305472 is about 2080.3384459132.

The spelling of 9003305472 in words is "nine billion, three million, three hundred five thousand, four hundred seventy-two".