9009000468 has 216 divisors, whose sum is σ = 27027818272. Its totient is φ = 2607883776.

The previous prime is 9009000449. The next prime is 9009000503. The reversal of 9009000468 is 8640009009.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3650571 + ... + 3653037.

Almost surely, 2^9009000468 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 9009000468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13513909136).

9009000468 is an abundant number, since it is smaller than the sum of its proper divisors (18018817804).

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

9009000468 is a wasteful number, since it uses less digits than its factorization.

9009000468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9009000468 is about 94915.7545826824. The cubic root of 9009000468 is about 2080.7769893649.

The spelling of 9009000468 in words is "nine billion, nine million, four hundred sixty-eight", and thus it is an aban number.