  Observational studies have widely demonstrated that galaxy physical
properties are strongly affected by the surrounding environment. On one side,
gas inflows provide galaxies with new fuel for star formation. On the other
side, the high temperatures and densities of the medium are expected to induce
quenching in the star formation. Observations of large structures, in
particular filaments at the cluster outskirts (r>2r$_{200}$), are currently
limited to the low redshift Universe. We present a multi-band dataset for the
cluster MACS J0416.1-2403 (z=0.397), observed in the context of the Galaxy
Assembly as a function of Mass and Environment with VST (VST-GAME) survey. The
project aims at gathering deep ($r$<24.4) and wide (20x20Mpc$^2$) observations
at optical wavelengths for six massive galaxy clusters at 0.2<z<0.6,
complemented with near infrared data. This work describes the photometric
analysis of the cluster, defines a density field and studies galaxy properties
in the cluster outskirts. We extract sources paying particular attention to
recover the faintest ones. We combine all the extractions in a multi-band
catalog and compute photometric redshifts. We then define cluster memberships
up to 5r$_{200}$ from the cluster core and measure the density field, comparing
galaxy properties in different environments. We found that the $g-r$ colors
show bimodal behaviours in all the environments, but the peak of the
distribution of red galaxies shifts toward redder colors with increasing
density and the fraction of galaxies in the blue cloud increases with
decreasing density. We also found 3 overdense regions in the cluster outskirts
at r$\sim$5r$_{200}$. The color of galaxies suggests the presence of evolved
galaxy populations, an insight for pre-processing phenomena over these
substructures. We release the multi-band catalog, down to the completeness
limit $r$<24.4 mag.
