406984 has 8 divisors (see below), whose sum is σ = 763110. Its totient is φ = 203488.

The previous prime is 406981. The next prime is 406993. The reversal of 406984 is 489604.

406984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 334084 + 72900 = 578^2 + 270^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (406981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25429 + ... + 25444.

2⁴⁰⁶⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

406984 is a deficient number, since it is larger than the sum of its proper divisors (356126).

406984 is a wasteful number, since it uses less digits than its factorization.

406984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50879 (or 50875 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 406984 is about 637.9529763235. The cubic root of 406984 is about 74.1069794299.

The spelling of 406984 in words is "four hundred six thousand, nine hundred eighty-four".