406084 has 12 divisors (see below), whose sum is σ = 812224. Its totient is φ = 174024.

The previous prime is 406073. The next prime is 406093. The reversal of 406084 is 480604.

406084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

406084 is an admirable number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

406084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7224 + ... + 7279.

2⁴⁰⁶⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

406084 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

406084 is a wasteful number, since it uses less digits than its factorization.

406084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14514 (or 14512 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 406084 is about 637.2472047801. The cubic root of 406084 is about 74.0523126570.

Adding to 406084 its reverse (480604), we get a palindrome (886688).

The spelling of 406084 in words is "four hundred six thousand, eighty-four".