409906 has 32 divisors (see below), whose sum is σ = 783360. Its totient is φ = 156816.

The previous prime is 409901. The next prime is 409909. The reversal of 409906 is 609904.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (409901) by changing a digit.

409906 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6085 + ... + 6151.

It is an arithmetic number, because the mean of its divisors is an integer number (24480).

2⁴⁰⁹⁹⁰⁶ is an apocalyptic number.

409906 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

409906 is a deficient number, since it is larger than the sum of its proper divisors (373454).

409906 is a wasteful number, since it uses less digits than its factorization.

409906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 409906 is about 640.2390178675. The cubic root of 409906 is about 74.2839105648.

The spelling of 409906 in words is "four hundred nine thousand, nine hundred six".