408205 has 16 divisors (see below), whose sum is σ = 570240. Its totient is φ = 274752.

The previous prime is 408203. The next prime is 408209. The reversal of 408205 is 502804.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 408205 - 2¹ = 408203 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408203) 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, 3691 + ... + 3799.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2⁴⁰⁸²⁰⁵ is an apocalyptic number.

It is an amenable number.

408205 is a deficient number, since it is larger than the sum of its proper divisors (162035).

408205 is a wasteful number, since it uses less digits than its factorization.

408205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228.

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 408205 is about 638.9092267294. The cubic root of 408205 is about 74.1810153332.

The spelling of 408205 in words is "four hundred eight thousand, two hundred five".