990480 has 40 divisors (see below), whose sum is σ = 3071232. Its totient is φ = 264064.

The previous prime is 990469. The next prime is 990487. The reversal of 990480 is 84099.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (990487) by changing a digit.

990480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1824 + ... + 2303.

2⁹⁹⁰⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

990480 is an abundant number, since it is smaller than the sum of its proper divisors (2080752).

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

990480 is a wasteful number, since it uses less digits than its factorization.

990480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4137 counting only the distinct ones).

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

The square root of 990480 is about 995.2286169519. The cubic root of 990480 is about 99.6816543022.

The spelling of 990480 in words is "nine hundred ninety thousand, four hundred eighty".