Teaser 3132: Bilateral symmetry

From The Sunday Times, 2nd October 2022 [link] [link]

My son, at a loose end after A-levels, asked me for a mental challenge. As we’d been discussing palindromes, I suggested he try to find an arrangement of the digits 1 to 9 with the multiplication symbol “×” to give a palindrome as the answer, and he came up with:

29678 × 1453 = 43122134.

I said: “Now try to find the smallest such palindromic product starting in 4, where the last digit of the smallest number is still 3”. He found that smallest product, and, interestingly, if he added the two smaller numbers instead of multiplying them, then added 100, he also got a palindrome.

What is the smallest product?