As Holst stated, you should really question why you you are wanting to obscure your host. Obscurity is one mechanism for security, but should be assumed to be the weakest, and as such needs to be only one layer in a much more robust security architecture.
I would highly recommend reviewing the CIS Benchmark for Apache and implementing whatever can be used in your environment. Along with NIST, the Center for Internet Security benchmarks are often used as the basis for standard configurations. Which is great, since the Professional Feed from Nessus includes audit files for comparing against the CIS benchmarks. Moreover, this puts you on the road towards a standard configuration that can be easily audited and greatly lowers the risks associated with attempting to adequately manage a multitude of dissimilar systems.
Going back to the original question, the CIS Apache Benchmark v2.2 recommend the following settings for Information Leakage Protection