Using data samples collected with the BESIII detector at center-of-mass energies $\sqrt{s}$=4.23,4.26,4.36, and 4.42 GeV, we measure the branching fractions of $\eta_c\to K^+K^-\pi^0$, $K^0_S K^{\pm}\pi^{\mp}$, $2(\pi^+\pi^-\pi^0)$, and $p \bar{p}$, via the process $e^+e^-\to\pi^+\pi^-h_c$, $h_c\to\gamma\eta_c$. The corresponding results are (1.15±0.12±0.10)%, (2.60±0.21±0.20)%, (15.2±1.8±1.7)%, and (0.120±0.026±0.015)%, respectively. Here the first uncertainties are statistical, and the second ones systematic. Additionally, the charged track multiplicity of ηc decays is measured for the first time.