Hook into Application_Start in a HttpModule

I’m implementing a simple HttpModule, where I want some code to run when the web application is started. But I’m surprised to find that the Application_Start event I would normally use from Global.asax is not available from a HttpModule. Is that correct, or am I missing something here?

How do I hook into the Application_Start event from an HttpModule?

Update:
I’ve come to simple solution using the Init event instead, but it still smells a bit funny to me.