413306 has 8 divisors (see below), whose sum is σ = 623700. Its totient is φ = 205408.

The previous prime is 413299. The next prime is 413353. The reversal of 413306 is 603314.

It can be written as a sum of positive squares in 2 ways, for example, as 297025 + 116281 = 545^2 + 341^2 .

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

It is a Curzon number.

It is an unprimeable number.

413306 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 131 + ... + 918.

2⁴¹³³⁰⁶ is an apocalyptic number.

413306 is a deficient number, since it is larger than the sum of its proper divisors (210394).

413306 is a wasteful number, since it uses less digits than its factorization.

413306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 413306 is about 642.8887928717. Note that the first 3 decimals coincide. The cubic root of 413306 is about 74.4887300340.

The spelling of 413306 in words is "four hundred thirteen thousand, three hundred six".