416984 has 16 divisors (see below), whose sum is σ = 799200. Its totient is φ = 203872.

The previous prime is 416963. The next prime is 416989. The reversal of 416984 is 489614.

It is a self number, because there is not a number n which added to its sum of digits gives 416984.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 416984.

It is not an unprimeable number, because it can be changed into a prime (416989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (49950).

2⁴¹⁶⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

416984 is a deficient number, since it is larger than the sum of its proper divisors (382216).

416984 is a wasteful number, since it uses less digits than its factorization.

416984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1158 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 416984 is about 645.7429829274. The cubic root of 416984 is about 74.7090356191.

The spelling of 416984 in words is "four hundred sixteen thousand, nine hundred eighty-four".