9001447920 has 320 divisors, whose sum is σ = 32132764800. Its totient is φ = 2314690560.

The previous prime is 9001447909. The next prime is 9001447921. The reversal of 9001447920 is 297441009.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9001447921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6982636 + ... + 6983924.

It is an arithmetic number, because the mean of its divisors is an integer number (100414890).

Almost surely, 2^9001447920 is an apocalyptic number.

9001447920 is a gapful number since it is divisible by the number (90) 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 9001447920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16066382400).

9001447920 is an abundant number, since it is smaller than the sum of its proper divisors (23131316880).

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

9001447920 is a wasteful number, since it uses less digits than its factorization.

9001447920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 9001447920 is about 94875.9607065984. The cubic root of 9001447920 is about 2080.1953650323.

Adding to 9001447920 its reverse (297441009), we get a palindrome (9298888929).

The spelling of 9001447920 in words is "nine billion, one million, four hundred forty-seven thousand, nine hundred twenty".