409506 has 16 divisors (see below), whose sum is σ = 826848. Its totient is φ = 135200.

The previous prime is 409499. The next prime is 409517. The reversal of 409506 is 605904.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 526 + ... + 1046.

It is an arithmetic number, because the mean of its divisors is an integer number (51678).

2⁴⁰⁹⁵⁰⁶ is an apocalyptic number.

409506 is an abundant number, since it is smaller than the sum of its proper divisors (417342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409506 is a wasteful number, since it uses less digits than its factorization.

409506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657.

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

The square root of 409506 is about 639.9265582862. The cubic root of 409506 is about 74.2597397918.

The spelling of 409506 in words is "four hundred nine thousand, five hundred six".