990408 has 32 divisors (see below), whose sum is σ = 2563200. Its totient is φ = 318528.

The previous prime is 990397. The next prime is 990463. The reversal of 990408 is 804099.

990408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

990408 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, 16 + ... + 1407.

It is an arithmetic number, because the mean of its divisors is an integer number (80100).

2⁹⁹⁰⁴⁰⁸ 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 990408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281600).

990408 is an abundant number, since it is smaller than the sum of its proper divisors (1572792).

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

990408 is a wasteful number, since it uses less digits than its factorization.

990408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1457 counting only the distinct ones).

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

The square root of 990408 is about 995.1924437012. The cubic root of 990408 is about 99.6792388898.

The spelling of 990408 in words is "nine hundred ninety thousand, four hundred eight".