413007 has 16 divisors (see below), whose sum is σ = 640512. Its totient is φ = 231840.

The previous prime is 412987. The next prime is 413009. The reversal of 413007 is 700314.

It is not a de Polignac number, because 413007 - 2⁶ = 412943 is a prime.

413007 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1353 + ... + 1629.

It is an arithmetic number, because the mean of its divisors is an integer number (40032).

2⁴¹³⁰⁰⁷ is an apocalyptic number.

413007 is a deficient number, since it is larger than the sum of its proper divisors (227505).

413007 is a wasteful number, since it uses less digits than its factorization.

413007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 413007 is about 642.6562066922. The cubic root of 413007 is about 74.4707631175.

The spelling of 413007 in words is "four hundred thirteen thousand, seven".