Ratio of 360 to Aliquot Sum

Theorem
$360$ has the property that its ratio to its aliquot sum is $4 : 9$.

Proof
The aliquot sum of an integer $n$ is the integer sum of the aliquot parts of $n$.

That is, the aliquot sum of $360$ is the $\sigma$ function of $360$ minus $360$.

Thus: