Consider the reaction \( \mathrm{N_2O_4(g) \rightleftharpoons 2NO_2(g)} \). The temperature at which \( K_c = 20.4 \) and \( K_p = 600.1 \), is _______ \( \text{K} \). (Round off to the Nearest Integer)
[Assume all gases are ideal and \( R = 0.0831 \, \text{L bar K}^{-1} \text{ mol}^{-1} \)]