542503808 has 128 divisors (see below), whose sum is σ = 1418860800. Its totient is φ = 200171520.

The previous prime is 542503777. The next prime is 542503811. The reversal of 542503808 is 808305245.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185816 + ... + 188712.

It is an arithmetic number, because the mean of its divisors is an integer number (11084850).

Almost surely, 2^542503808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542503808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709430400).

542503808 is an abundant number, since it is smaller than the sum of its proper divisors (876356992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542503808 is a wasteful number, since it uses less digits than its factorization.

542503808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 542503808 is about 23291.7111436665. The cubic root of 542503808 is about 815.5819337380.

The spelling of 542503808 in words is "five hundred forty-two million, five hundred three thousand, eight hundred eight".