542800 has 60 divisors (see below), whose sum is σ = 1383840. Its totient is φ = 204160.

The previous prime is 542797. The next prime is 542821. The reversal of 542800 is 8245.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9171 + ... + 9229.

It is an arithmetic number, because the mean of its divisors is an integer number (23064).

2⁵⁴²⁸⁰⁰ is an apocalyptic number.

542800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691920).

542800 is an abundant number, since it is smaller than the sum of its proper divisors (841040).

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

542800 is a wasteful number, since it uses less digits than its factorization.

542800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 542800 is about 736.7496182558. The cubic root of 542800 is about 81.5730335089.

The spelling of 542800 in words is "five hundred forty-two thousand, eight hundred".