409605 has 32 divisors (see below), whose sum is σ = 774144. Its totient is φ = 181056.

The previous prime is 409597. The next prime is 409609. The reversal of 409605 is 506904.

It is not a de Polignac number, because 409605 - 2³ = 409597 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 (409609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4894 + ... + 4976.

It is an arithmetic number, because the mean of its divisors is an integer number (24192).

2⁴⁰⁹⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

409605 is a deficient number, since it is larger than the sum of its proper divisors (364539).

409605 is a wasteful number, since it uses less digits than its factorization.

409605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 409605 is about 640.0039062381. The cubic root of 409605 is about 74.2657235233.

The spelling of 409605 in words is "four hundred nine thousand, six hundred five".