396984 has 64 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 105984.

The previous prime is 396983. The next prime is 396997. The reversal of 396984 is 489693.

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 396984.

It is not an unprimeable number, because it can be changed into a prime (396983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2787 + ... + 2925.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2³⁹⁶⁹⁸⁴ is an apocalyptic number.

396984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

396984 is an abundant number, since it is smaller than the sum of its proper divisors (812616).

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

396984 is a wasteful number, since it uses less digits than its factorization.

396984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 396984 is about 630.0666631397. The cubic root of 396984 is about 73.4949786009.

The spelling of 396984 in words is "three hundred ninety-six thousand, nine hundred eighty-four".