909480000 has 560 divisors, whose sum is σ = 3599297856. Its totient is φ = 199680000.

The previous prime is 909479993. The next prime is 909480001. The reversal of 909480000 is 84909.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 909480000.

It is not an unprimeable number, because it can be changed into a prime (909480001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17159974 + ... + 17160026.

Almost surely, 2^909480000 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 909480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799648928).

909480000 is an abundant number, since it is smaller than the sum of its proper divisors (2689817856).

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

909480000 is a wasteful number, since it uses less digits than its factorization.

909480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 909480000 is about 30157.5861102974. The cubic root of 909480000 is about 968.8674918199.

The spelling of 909480000 in words is "nine hundred nine million, four hundred eighty thousand".