Shouldn't be a cheap product or strange brands and should cost up to 550 euro max
Hp, lenovo, asus
Yes but which models
Possibly also used? A used top product can be much better than a new cheap product. Take a look at e.g. Used computer24.de, or notebooksbilliger.de. The latter often have special offers for schoolchildren and students, which they then call the campus product.
No I don't want a used one
At this price limit, all devices are cheap products.
A used business laptop would make sense here. Should it be small and handy? Then I would prefer the X series from Lenovo. You can get them for 200 euro, although the new price is often over 1000 euro. After 3 years, the companies push the devices so that they flood the market inexpensively.
If you want 17 ", the HP 17-ca1124ng, for example, would currently accompany the lower minimum
Or quite suitable for games then, for example, an XMG CORE 17 AMD - M20pnr
E.g. The Huawei matebook d14 for around 600 euro. The Chromebooks are also good at around 400 euro and have enough power for the office. I can also recommend Refurbed to you, my Asus Zenbook 3 Deluxe, new price well over 1000 euro, I bought it in a completely new condition for 450 euro, more than enough performance, and while you save money you also protect the environment.
e.g., extremely good:
https://www.ebay.de/...5054661179
or:
https://www.ebay.de/...4001383058
or:
Then take a look at cheaper notebooks and then compare the price, e.g. On curmudgeon or Idealo. I've seen pretty good deals there lately.