413205 has 24 divisors (see below), whose sum is σ = 720288. Its totient is φ = 202176.

The previous prime is 413201. The next prime is 413207. The reversal of 413205 is 502314.

It is not a de Polignac number, because 413205 - 2² = 413201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2454 + ... + 2616.

It is an arithmetic number, because the mean of its divisors is an integer number (30012).

2⁴¹³²⁰⁵ is an apocalyptic number.

It is an amenable number.

413205 is a deficient number, since it is larger than the sum of its proper divisors (307083).

413205 is a wasteful number, since it uses less digits than its factorization.

413205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 413205 is about 642.8102363840. The cubic root of 413205 is about 74.4826619113.

Adding to 413205 its reverse (502314), we get a palindrome (915519).

The spelling of 413205 in words is "four hundred thirteen thousand, two hundred five".