Of note, having recently shopped at Walmart for a self-setting alarm clock (what I once knew to be “atomic”):

Apparently the entity today known as Sharp sells “AccuSet(tm)” branded clocks that “automatically set time”… but they’re just factory pre-set with a button cell and they include a slider on the bottom to set a timezone offset (only for US timezones). If you’re lucky, the clock’s battery is still good and the clock “set itself” out of the box several minutes late.

If you’re unlucky - surprise, you get to manually set the time anyways.

https://www.amazon.com/Sharp-Digital-Alarm-AccuSet-Automatic...

These clocks are irritating because they show up in the results when searching for “radio atomic clock” and similar, and it can be very hard to figure out if they actually use the WWVB radio signal. I’ve concluded that none of them do, because WWVB is only reliable in (most parts) of the US, and companies only want to make things that appeal to a global audience now. La Crosse seems to be the only one that makes them, and unfortunately most of their designs lack any style (i.e. they’re ugly).

Clocks which are designed to be able to auto set their time in the US will actually also do the auto setting at least as far away as Johannesburg, South Africa.

I know this because when my mother was visiting the US over a decade ago, she found a clock she felt was aesthetically perfect for her psychology practice room at her house.

Twice a year the clock changes its time to be 10 hours (or thereabouts) behind, no doubt due to daylight savings change over.

So she has to readjust the time whenever this happens which she says she doesn’t really mind.

You want a self-setting radio clock that receives the LF broadcast from WWVB.

There was a kerfuffle a few years back about the funding for the station being cut, but luckily that did not come to be.