406585 has 8 divisors (see below), whose sum is σ = 491400. Its totient is φ = 322944.

The previous prime is 406583. The next prime is 406591. The reversal of 406585 is 585604.

It can be written as a sum of positive squares in 4 ways, for example, as 32041 + 374544 = 179^2 + 612^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 406585 - 2¹ = 406583 is a prime.

It is a super-5 number, since 5×406585⁵ (a number of 29 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (406583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 991 + ... + 1339.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

2⁴⁰⁶⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

406585 is a deficient number, since it is larger than the sum of its proper divisors (84815).

406585 is a wasteful number, since it uses less digits than its factorization.

406585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 406585 is about 637.6401806662. The cubic root of 406585 is about 74.0827537823.

The spelling of 406585 in words is "four hundred six thousand, five hundred eighty-five".