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The fourth transient accreting millisecond pulsar XTE J1807-294 was observedduring its February/March 2003 outburst by INTEGRAL, partly simultaneously withthe XMM-Newton and RXTE satellites. We present here the first study of the0.5-200 keV broad-band spectra of the source. On February 28, the sourcespectrum was consistent with thermal Comptonization by electrons of temperature\~40 keV, considerably larger than the value (~10 keV) previously derived fromthe low energy XMM-Newton data alone. The source is detected by INTEGRAL up to200 keV with a luminosity in the energy band (0.1-200) keV of 1.3 x 10E37 erg/s(assuming a distance of 8 kpc). 22 days later the luminosity dropped to 3.6 x10E36 erg/s. A re-analysis of XMM-Newton data yields the orbital Dopplervariations of the pulse period and refines the previous ephemeris. For thissource having shortest orbital period of any known binary radio or X-raymillisecond pulsar, we constrain the companion mass Mc < 0.022 Msun, assumingminimum mass transfer driven by gravitational radiation. Only evolved dwarfswith a C/O composition are consistent with the Roche lobe and gravitationalradiation constraints, while He dwarfs require an unlikely low inclination.Comment: accepted for publication on A&A, 7 pages, 7 figure

INTEGRAL spectroscopy of the accreting millisecond pulsar XTE J1807-294 in outburst