406085 has 8 divisors (see below), whose sum is σ = 490776. Its totient is φ = 322560.

The previous prime is 406073. The next prime is 406093. The reversal of 406085 is 580604.

It can be written as a sum of positive squares in 4 ways, for example, as 43681 + 362404 = 209^2 + 602^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 406085 - 2⁸ = 405829 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 406085.

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 406085.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1037 + ... + 1373.

It is an arithmetic number, because the mean of its divisors is an integer number (61347).

2⁴⁰⁶⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

406085 is a deficient number, since it is larger than the sum of its proper divisors (84691).

406085 is a wasteful number, since it uses less digits than its factorization.

406085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 406085 is about 637.2479894044. The cubic root of 406085 is about 74.0523734426.

Adding to 406085 its reverse (580604), we get a palindrome (986689).

The spelling of 406085 in words is "four hundred six thousand, eighty-five".