909480960 has 528 divisors, whose sum is σ = 3540753216. Its totient is φ = 222953472.

The previous prime is 909480959. The next prime is 909480967. The reversal of 909480960 is 69084909.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (909480967) 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 47 ways as a sum of consecutive naturals, for example, 21150699 + ... + 21150741.

It is an arithmetic number, because the mean of its divisors is an integer number (6705972).

Almost surely, 2^909480960 is an apocalyptic number.

909480960 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 909480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770376608).

909480960 is an abundant number, since it is smaller than the sum of its proper divisors (2631272256).

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

909480960 is a wasteful number, since it uses less digits than its factorization.

909480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 909480960 is about 30157.6020266864. The cubic root of 909480960 is about 968.8678327152.

The spelling of 909480960 in words is "nine hundred nine million, four hundred eighty thousand, nine hundred sixty".