9924000900 has 288 divisors, whose sum is σ = 33315867648. Its totient is φ = 2256883200.

The previous prime is 9924000893. The next prime is 9924000913. The reversal of 9924000900 is 90004299.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4021467 + ... + 4023933.

It is an arithmetic number, because the mean of its divisors is an integer number (115680096).

Almost surely, 2^9924000900 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 9924000900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16657933824).

9924000900 is an abundant number, since it is smaller than the sum of its proper divisors (23391866748).

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

9924000900 is a wasteful number, since it uses less digits than its factorization.

9924000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 9924000900 is about 99619.2797604962. The cubic root of 9924000900 is about 2148.9629684199.

The spelling of 9924000900 in words is "nine billion, nine hundred twenty-four million, nine hundred", and thus it is an aban number.