543200 has 72 divisors (see below), whose sum is σ = 1531152. Its totient is φ = 184320.

The previous prime is 543187. The next prime is 543203. The reversal of 543200 is 2345.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (543203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5552 + ... + 5648.

It is an arithmetic number, because the mean of its divisors is an integer number (21266).

2⁵⁴³²⁰⁰ is an apocalyptic number.

543200 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 543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765576).

543200 is an abundant number, since it is smaller than the sum of its proper divisors (987952).

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

543200 is a wasteful number, since it uses less digits than its factorization.

543200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 543200 is about 737.0210309075. The cubic root of 543200 is about 81.5930661800.

Adding to 543200 its reverse (2345), we get a palindrome (545545).

It can be divided in two parts, 5 and 43200, that multiplied together give a cube (216000 = 60³).

The spelling of 543200 in words is "five hundred forty-three thousand, two hundred".