It looks like a version of the Dimplex XL as per the one below. They had that style of grille for a while. I can't confirm whether it has asbestos in or not, but I wouldn't have thought so. Asbestos started to be officially banned in the 1980's in the UK but the dangers were known earlier. I think your heater is probably newer than that, 1990's maybe?
Storage heaters are designed to be connected to a special low tariff, off-peak electricity, which is separate from the rest of the house electrical supply and only operates when a cheaper electricity tariff is available. During the cheaper rate (primarily overnight) the heater is powered and stores the heat within its thermal blocks. The heat is then released from the thermal blocks during the day. The off-peak rate is generally less than half the price of the normal electricity used during the day.
It appears though that yours maybe just plugged into a normal 13A socket at the side of it. If so, it will be using full price electricity.
If it is a Dimplex XL. You can find the instructions that explain how to use it properly, along with the manufacturers contact information
here.
I see that this is your first post, so for future reference, this forum is called "Your Projects" and its use is defined as:
The electrical, or perhaps plumbing and central heating forums would have probably been better for your query that's generally where the folks who know about these things hang out.
EDIT:
I see the mods have moved it for you already.
