Based on a regular exact black hole (BH) from nonlinear electrodynamics (NED)
coupled to General Relativity, we investigate its stability of such BH through
the Quasinormal Modes (QNMs) of electromagnetic (EM) field perturbation and its
thermodynamics through Hawking radiation. In perturbation theory, we can deduce
the effective potential from nonlinear EM field. The comparison of potential
function between regular and RN BHs could predict their similar QNMs. The QNMs
frequencies tell us the effect of magnetic charge q, overtone n, angular
momentum number l on the dynamic evolution of NLED EM field. Furthermore we
also discuss the cases near extreme condition of such magnetically charged
regular BH. The corresponding QNMs spectrum illuminates some special properties
in the near-extreme cases. For the thermodynamics, we employ Hamilton-Jacobi
method to calculate the near-horizon Hawking temperature of the regular BH and
reveal the relationship between classical parameters of black hole and its
quantum effect