542500800 has 84 divisors (see below), whose sum is σ = 1779870456. Its totient is φ = 144665600.

The previous prime is 542500789. The next prime is 542500801. The reversal of 542500800 is 8005245.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542500801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51711 + ... + 61310.

It is an arithmetic number, because the mean of its divisors is an integer number (21188934).

Almost surely, 2^542500800 is an apocalyptic number.

542500800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542500800 is an abundant number, since it is smaller than the sum of its proper divisors (1237369656).

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

542500800 is a wasteful number, since it uses less digits than its factorization.

542500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113046 (or 113031 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 542500800 is about 23291.6465712495. The cubic root of 542500800 is about 815.5804263599.

The spelling of 542500800 in words is "five hundred forty-two million, five hundred thousand, eight hundred".