401(k) + 457 Contributions

I just wanted to make sure that I was reading the regulations correctly.

If someone participates in both a 401(k) and a 457 plan, they can max out their contributions in each ($20,500 + $6,500 catchup) if their compensation allows it, correct?

I know with a 401(k) and a 403(b) the $20,500 is total between all plans, but I believe I read that 457 is completely separate so you can max out in both simultaneously (for a total of $54k).  Just wanted to make sure I was correct

That is my understanding as well.

A similar effect can be had using a § 403(b) plan and a § 457(b) plan.

For example, a public-school employee who is 50 might instruct salary-reduction deferrals of $30,000 [2023] under each plan, for a combination of $60,000.

Many public-school employers provide both § 403(b) and § 457(b) plans, allowing two deferrals from one paycheck.

That is correct! 

Going back to the original post, the age 50 ($6,500) catchup can only go into the 457(b) plan if the sponsor is a governmental entity..