  The paper determines the thermodynamic parameters of the superconducting
state in the metallic atomic hydrogen under the pressure at $1$ TPa, $1.5$ TPa,
and $2.5$ TPa. The calculations were conducted in the framework of the
Eliashberg formalism. It has been shown that the critical temperature is very
high (in the range from $301.2$ K to $437.3$ K), as well as high are the values
of the electron effective mass (from $3.43$ $m_{e}$ to $6.88$ $m_{e}$), where
$m_{e}$ denotes the electron band mass. The ratio of the low-temperature energy
gap to the critical temperature explicitly violates the predictions of the BCS
theory: $2\Delta\left(0\right)/k_{B}T_{C}\in\left<4.84,5.85\right>$.
Additionally, the free energy difference between the superconducting and normal
state, the thermodynamic critical field, and the specific heat of the
superconducting state have been determined. Due to the significant
strong-coupling and retardation effects those quantities cannot be correctly
described in the framework of the BCS theory.
