407984 has 20 divisors (see below), whose sum is σ = 810216. Its totient is φ = 198912.

The previous prime is 407977. The next prime is 407993. The reversal of 407984 is 489704.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 407984.

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, 392 + ... + 984.

2⁴⁰⁷⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

407984 is a deficient number, since it is larger than the sum of its proper divisors (402232).

407984 is a wasteful number, since it uses less digits than its factorization.

407984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 407984 is about 638.7362522982. The cubic root of 407984 is about 74.1676258485.

The spelling of 407984 in words is "four hundred seven thousand, nine hundred eighty-four".