406505 has 16 divisors (see below), whose sum is σ = 561600. Its totient is φ = 279360.

The previous prime is 406501. The next prime is 406507. The reversal of 406505 is 505604.

It is not a de Polignac number, because 406505 - 2² = 406501 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406505.

It is not an unprimeable number, because it can be changed into a prime (406501) 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, 851 + ... + 1239.

It is an arithmetic number, because the mean of its divisors is an integer number (35100).

2⁴⁰⁶⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

406505 is a deficient number, since it is larger than the sum of its proper divisors (155095).

406505 is a wasteful number, since it uses less digits than its factorization.

406505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424.

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 406505 is about 637.5774462761. The cubic root of 406505 is about 74.0778946023.

Subtracting 406505 from its reverse (505604), we obtain a palindrome (99099).

The spelling of 406505 in words is "four hundred six thousand, five hundred five".