409705 has 8 divisors (see below), whose sum is σ = 499392. Its totient is φ = 322608.

The previous prime is 409693. The next prime is 409709. The reversal of 409705 is 507904.

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

It is a cyclic number.

It is not a de Polignac number, because 409705 - 2¹¹ = 407657 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 409705.

It is not an unprimeable number, because it can be changed into a prime (409709) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 277 + ... + 946.

It is an arithmetic number, because the mean of its divisors is an integer number (62424).

2⁴⁰⁹⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

409705 is a deficient number, since it is larger than the sum of its proper divisors (89687).

409705 is a wasteful number, since it uses less digits than its factorization.

409705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 409705 is about 640.0820259935. The cubic root of 409705 is about 74.2717667179.

The spelling of 409705 in words is "four hundred nine thousand, seven hundred five".