  As a baryon number violating process with $\Delta B=2$, neutron-antineutron
oscillation ($n\to\bar n$) provides a unique test of baryon number
conservation. We have performed a search for $n\to\bar n$ oscillation with
bound neutrons in Super-Kamiokande, with the full data set from its first four
run periods, representing an exposure of 0.37~Mton-years. The search used a
multivariate analysis trained on simulated $n\to\bar n$ events and atmospheric
neutrino backgrounds and resulted in 11 candidate events with an expected
background of 9.3 events. In the absence of statistically significant excess,
we derived a lower limit on $\bar n$ appearance lifetime in $^{16}$O nuclei of
$3.6\times{10}^{32}$ years and on the neutron-antineutron oscillation time of
$\tau_{n\to\bar n} > 4.7\times10^{8}$~s at 90\% C.L..
