408405 has 16 divisors (see below), whose sum is σ = 688320. Its totient is φ = 206208.

The previous prime is 408403. The next prime is 408413. The reversal of 408405 is 504804.

It is not a de Polignac number, because 408405 - 2¹ = 408403 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (43020).

2⁴⁰⁸⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

408405 is a deficient number, since it is larger than the sum of its proper divisors (279915).

408405 is a wasteful number, since it uses less digits than its factorization.

408405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 408405 is about 639.0657243195. The cubic root of 408405 is about 74.1931283489.

The spelling of 408405 in words is "four hundred eight thousand, four hundred five".