413709 has 8 divisors (see below), whose sum is σ = 554880. Its totient is φ = 274176.

The previous prime is 413689. The next prime is 413711. The reversal of 413709 is 907314.

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

It is not a de Polignac number, because 413709 - 2⁹ = 413197 is a prime.

413709 is a lucky number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413719) 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, 429 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (69360).

2⁴¹³⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

413709 is a deficient number, since it is larger than the sum of its proper divisors (141171).

413709 is a wasteful number, since it uses less digits than its factorization.

413709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 413709 is about 643.2021455188. The cubic root of 413709 is about 74.5129326077.

The spelling of 413709 in words is "four hundred thirteen thousand, seven hundred nine".