413305 has 8 divisors (see below), whose sum is σ = 500544. Its totient is φ = 327600.

The previous prime is 413299. The next prime is 413353. The reversal of 413305 is 503314.

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

It is not a de Polignac number, because 413305 - 2⁹ = 412793 is a prime.

It is a Duffinian number.

413305 is a lucky number.

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, 340 + ... + 970.

It is an arithmetic number, because the mean of its divisors is an integer number (62568).

2⁴¹³³⁰⁵ is an apocalyptic number.

It is an amenable number.

413305 is a deficient number, since it is larger than the sum of its proper divisors (87239).

413305 is a wasteful number, since it uses less digits than its factorization.

413305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 413305 is about 642.8880151317. Note that the first 3 decimals coincide. The cubic root of 413305 is about 74.4886699585.

Adding to 413305 its reverse (503314), we get a palindrome (916619).

Subtracting 413305 from its reverse (503314), we obtain a palindrome (90009).

The spelling of 413305 in words is "four hundred thirteen thousand, three hundred five".