542032200 has 288 divisors, whose sum is σ = 1915056000. Its totient is φ = 137249280.

The previous prime is 542032123. The next prime is 542032229. The reversal of 542032200 is 2230245.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3637726 + ... + 3637874.

It is an arithmetic number, because the mean of its divisors is an integer number (6649500).

Almost surely, 2^542032200 is an apocalyptic number.

542032200 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 542032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957528000).

542032200 is an abundant number, since it is smaller than the sum of its proper divisors (1373023800).

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

542032200 is a wasteful number, since it uses less digits than its factorization.

542032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 542032200 is about 23281.5849975898. The cubic root of 542032200 is about 815.3455320333.

Adding to 542032200 its reverse (2230245), we get a palindrome (544262445).

The spelling of 542032200 in words is "five hundred forty-two million, thirty-two thousand, two hundred".