The density of the Sun isn't uniform of course, but according to this[0] StackExchange answer, the density of matter in the Sun already reaches that of air at about 95% of its radius.

https://astronomy.stackexchange.com/questions/32729/at-what-...

Obviously by "density" we mean weight divided by volume. Here is a collection of four textbooks that all agree on the 1.4 figure.

https://hypertextbook.com/facts/1999/MayKo.shtml