App Name <-> Product Name?

i am not sure if i got it right.
Is it right that the ‘App Name’ which you set in iTunes Connect (when you add a new App) is the name under which your App is listed in the App Store. And it can be up to 255 Characters long?
And the ‘Product Name’ you set in Unity in the Player Settings and comes included in the Binary. And this a short name that shows up under the app icon on the home screen on the actual devices?

hm, in Xcode in the plist there’s an entry called ‘Bundle display name’ with the short name of my App already correctly entered. So i think it’ll be all alright.