Certain methods enable the production of steel components with well-adhering metallic coatings that protect against corrosion. In some examples, a flat steel product produced from a steel material having a yield point of 150-1100 MPa and a tensile strength of 300-1200 MPa may be coated with an anticorrosion coating of an alloy that comprises 35-70% by weight aluminum, 35-60% by weight zinc, 0.1-10% by weight magnesium, up to 10% by weight Si, and up to 5% by weight Fe. A blank obtained from the flat steel product may then be heated to at least 800° C. and formed into a steel component. Alternatively, the steel component may be formed into the steel component first and then heated to at least 800° C. Regardless, the steel component may then be hardened by sufficiently rapid cooling the steel component from a sufficiently high temperature.