909972000 has 576 divisors, whose sum is σ = 3875848704. Its totient is φ = 197683200.

The previous prime is 909971989. The next prime is 909972001. The reversal of 909972000 is 279909.

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

It is not an unprimeable number, because it can be changed into a prime (909972001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5795922 + ... + 5796078.

It is an arithmetic number, because the mean of its divisors is an integer number (6728904).

Almost surely, 2^909972000 is an apocalyptic number.

909972000 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 909972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937924352).

909972000 is an abundant number, since it is smaller than the sum of its proper divisors (2965876704).

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

909972000 is a wasteful number, since it uses less digits than its factorization.

909972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 909972000 is about 30165.7421589458. The cubic root of 909972000 is about 969.0421692454.

The spelling of 909972000 in words is "nine hundred nine million, nine hundred seventy-two thousand".