You can purchase glow in the dark paint. I've used it in spray form and brush on. Then you can just paint over the plate that came with the it.
Thanks, Kathy. I'm going to paint the witeless doorbell with white glow in the dark paint.
I like glow in the dark tape, too. Amazon carries many different choices, but, I have seen it in stores.
There are also glow in the dark decals that might be of help to you.
I agree with the glow in the dark paint idea. Here is a link to a site that discusses the top 10 outdoor glow in the dark paints:
Rustoleum sells a glow spray paint See this video
The hardware store may still stock glow in the dark tape. I used it on basement steps.
I would get a new illuminated door bell button. Probably cheaper and much easier to install.
My doorbell isn't wired. Contractor broke the wiring. Mine is a wireless doorbell.