542443200 has 168 divisors, whose sum is σ = 1916783568. Its totient is φ = 133509120.

The previous prime is 542443183. The next prime is 542443207. The reversal of 542443200 is 2344245.

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

It is not an unprimeable number, because it can be changed into a prime (542443207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58054 + ... + 66746.

It is an arithmetic number, because the mean of its divisors is an integer number (11409426).

Almost surely, 2^542443200 is an apocalyptic number.

542443200 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 542443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958391784).

542443200 is an abundant number, since it is smaller than the sum of its proper divisors (1374340368).

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

542443200 is a wasteful number, since it uses less digits than its factorization.

542443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8731 (or 8716 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 542443200 is about 23290.4100436210. The cubic root of 542443200 is about 815.5515605990.

Adding to 542443200 its reverse (2344245), we get a palindrome (544787445).

The spelling of 542443200 in words is "five hundred forty-two million, four hundred forty-three thousand, two hundred".