413307 has 12 divisors (see below), whose sum is σ = 628680. Its totient is φ = 260928.

The previous prime is 413299. The next prime is 413353. The reversal of 413307 is 703314.

It is not a de Polignac number, because 413307 - 2³ = 413299 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1038 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (52390).

2⁴¹³³⁰⁷ is an apocalyptic number.

413307 is a deficient number, since it is larger than the sum of its proper divisors (215373).

413307 is a wasteful number, since it uses less digits than its factorization.

413307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 413307 is about 642.8895706107. The cubic root of 413307 is about 74.4887901095.

The spelling of 413307 in words is "four hundred thirteen thousand, three hundred seven".