408984 has 16 divisors (see below), whose sum is σ = 1022520. Its totient is φ = 136320.

The previous prime is 408979. The next prime is 408997. The reversal of 408984 is 489804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8497 + ... + 8544.

2⁴⁰⁸⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

408984 is an abundant number, since it is smaller than the sum of its proper divisors (613536).

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

408984 is a wasteful number, since it uses less digits than its factorization.

408984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17050 (or 17046 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 408984 is about 639.5185689251. The cubic root of 408984 is about 74.2281732486.

The spelling of 408984 in words is "four hundred eight thousand, nine hundred eighty-four".