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Mg 0.4 Al 2.4 O 4 single crystal was grown by the Czochralski method. The measured specific heat values are 0.804–1.06 J g −1 K −1 in the temperature range from 298.15 to 573.15 K. The calculated thermal conductivity components are 11.37, 11.47 and 10.77 W m −1 K −1 along the [111], [004] and [22̄0] direction at 298.15 K. The Vickers microhardness values are 1328–1414 kg mm −2 . These experimental results show that Mg 0.4 Al 2.4 O 4 crystal is a promising substrate for GaN-based LEDs.