542424100 has 81 divisors (see below), whose sum is σ = 1259565433. Its totient is φ = 202716160.

The previous prime is 542424067. The next prime is 542424109. The reversal of 542424100 is 1424245.

It is a happy number.

The square root of 542424100 is 23290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 145298916 + 397125184 = 12054^2 + 19928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (542424109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3959232 + ... + 3959368.

Almost surely, 2^542424100 is an apocalyptic number.

542424100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

542424100 is the 23290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542424100

542424100 is an abundant number, since it is smaller than the sum of its proper divisors (717141333).

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

542424100 is a wasteful number, since it uses less digits than its factorization.

542424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The cubic root of 542424100 is about 815.5419883417.

Adding to 542424100 its reverse (1424245), we get a palindrome (543848345).

The spelling of 542424100 in words is "five hundred forty-two million, four hundred twenty-four thousand, one hundred".