In this study we have investigated the symmetry properties and R(4/2) energy ratio of energy bands for superdeformed light even even nuclei from Z = 10 to 30 by the use of a simple and valid analytical relation obtained in terms of a K-quantum number, which is the projection of the total angular momentum on the axis of symmetry of a nucleus. Moreover, the nuclear level density parameters of the nuclei of interest have been calculated by considering different excitation bands of the observed nuclear spectra. The method used assumes equidistant spacing of the collective coupled state bands of the nuclei considered. The values of the calculated nuclear level density parameters and R(4/2) energy ratio have been compared with those of the experimental and compiled values and are in quite good agreement with the experimental and compiled results. (C) 2010 Elsevier Ltd. All rights reserved.