The hot Jupiter HD 209458b is particularly amenable to detailed study as it is among the brightest transiting exoplanet systems currently known (V-mag = 7.65; K-mag = 6.308) and has a large planet-to-star contrast ratio. HD 209458b is predicted to be in synchronous rotation about its host star with a hot spot that is shifted eastward of the substellar point by superrotating equatorial winds. Here we present the first full-orbit observations of HD 209458b, in which its 4.5 $mu$m emission was recorded with $Spitzer$/IRAC. Our study revises the previous 4.5 $mu$m measurement of HD 209458bs secondary eclipse emission downward by $sim$35% to $0.1391%^{+0.0072%}_{-0.0069%}$, changing our interpretation of the properties of its dayside atmosphere. We find that the hot spot on the planets dayside is shifted eastward of the substellar point by $40.9^{circ}pm{6.0^{circ}}$, in agreement with circulation models predicting equatorial superrotation. HD 209458bs dayside (T$_{bright}$ = 1499 $pm$ 15 K) and nightside (T$_{bright}$ = 972 $pm$ 44 K) emission indicates a day-to-night brightness temperature contrast smaller than that observed for more highly irradiated exoplanets, suggesting that the day-to-night temperature contrast may be partially a function of the incident stellar radiation. The observed phase curve shape deviates modestly from global circulation model predictions potentially due to disequilibrium chemistry or deficiencies in the current hot CH$_{4}$ line lists used in these models. Observations of the phase curve at additional wavelengths are needed in order to determine the possible presence and spatial extent of a dayside temperature inversion, as well as to improve our overall understanding of this planets atmospheric circulation.