409105 has 8 divisors (see below), whose sum is σ = 519912. Its totient is φ = 307968.

The previous prime is 409099. The next prime is 409121. The reversal of 409105 is 501904.

It can be written as a sum of positive squares in 4 ways, for example, as 130321 + 278784 = 361^2 + 528^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-409105 is a prime.

It is a Duffinian number.

409105 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2322 + ... + 2491.

It is an arithmetic number, because the mean of its divisors is an integer number (64989).

2⁴⁰⁹¹⁰⁵ is an apocalyptic number.

It is an amenable number.

409105 is a deficient number, since it is larger than the sum of its proper divisors (110807).

409105 is a wasteful number, since it uses less digits than its factorization.

409105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 409105 is about 639.6131643423. The cubic root of 409105 is about 74.2354927879.

The spelling of 409105 in words is "four hundred nine thousand, one hundred five".