  Single pulses from radio pulsars contain a wealth of information about
emission and propagation in the magnetosphere and insight into their timing
properties. It was recently demonstrated that single-pulse emission is
responsible for limiting the timing stability of the brightest of millisecond
pulsars. We report on an analysis of more than a million single-pulses from PSR
J0437-4715 and present various statistical properties such as the
signal-to-noise ratio (S/N) distribution, timing and polarimetry of average
profiles integrated from subpulses with chosen S/N cut-offs, modulation
properties of the emission, phase-resolved statistics of the S/N, and two
dimensional spherical histograms of the polarization vector orientation. The
last of these indicates the presence of orthogonally polarised modes (OPMs).
Combined with the dependence of the polarisation fraction on the S/N and
polarimetry of the brightest pulses, the existence of OPMs constrains pulsar
emission mechanisms and models for the plasma physics in the magnetosphere.
