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We present optical photometry and spectroscopy of the afterglow and hostgalaxy of gamma-ray burst 040924. This GRB had a rather short duration of T90~2.4s, and a well sampled optical afterglow light curve. We aim to use thisdataset to find further evidence that this burst is consistent with a massivestar core-collapse progenitor. We combine the afterglow data reported here withdata taken from the literature and compare the host properties with surveydata. We find that the global behaviour of the optical afterglow is well fit bya broken power-law, with a break at ~0.03 days. We determine the redshift z =0.858 +/- 0.001 from the detected emission lines in our spectrum. Using thespectrum and photometry we derive global properties of the host, showing it tohave similar properties to long GRB hosts. We detect the [Ne III] emission linein the spectrum, and compare the fluxes of this line of a sample of 15 long GRBhost galaxies with survey data, showing the long GRB hosts to be comparable tolocal metal-poor emission line galaxies in their [Ne III] emission. We fit thesupernova bump accompanying this burst, and find that it is similar to otherlong GRB supernova bumps, but fainter. All properties of GRB 040924 areconsistent with an origin in the core-collapse of a massive star: thesupernova, the spectrum and SED of the host and the afterglow.

Spectroscopy and multiband photometry of the afterglow of intermediate duration gamma-ray burst 040924 and its host galaxy