I ran a test:
I added a converter to each property and found that the order of the properties
when writing the control in xaml is the order how they are bound.
My control was written as follow:
<toolkit:IntegerUpDown Value="binding" Min="binding" Max="binding"/>
Once I inverted the order of the properties as follow:
<toolkit:IntegerUpDown Min="binding" Max="binding" Value="binding"/>
The screen crashes on load as expected.
Hope this helps.