542059200 has 126 divisors (see below), whose sum is σ = 1926657564. Its totient is φ = 144545280.

The previous prime is 542059187. The next prime is 542059207. The reversal of 542059200 is 2950245.

542059200 is a `hidden beast` number, since 54 + 20 + 592 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (542059207) 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 17 ways as a sum of consecutive naturals, for example, 4422 + ... + 33221.

Almost surely, 2^542059200 is an apocalyptic number.

542059200 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 542059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963328782).

542059200 is an abundant number, since it is smaller than the sum of its proper divisors (1384598364).

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

542059200 is a wasteful number, since it uses less digits than its factorization.

542059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37671 (or 37653 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 542059200 is about 23282.1648477971. The cubic root of 542059200 is about 815.3590699521.

It can be divided in two parts, 5420 and 59200, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 542059200 in words is "five hundred forty-two million, fifty-nine thousand, two hundred".