542505200 has 60 divisors (see below), whose sum is σ = 1333721928. Its totient is φ = 211948800.

The previous prime is 542505193. The next prime is 542505221. The reversal of 542505200 is 2505245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1430 + ... + 32970.

Almost surely, 2^542505200 is an apocalyptic number.

542505200 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 542505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666860964).

542505200 is an abundant number, since it is smaller than the sum of its proper divisors (791216728).

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

542505200 is a wasteful number, since it uses less digits than its factorization.

542505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31602 (or 31591 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 23.

The square root of 542505200 is about 23291.7410255223. The cubic root of 542505200 is about 815.5826312993.

The spelling of 542505200 in words is "five hundred forty-two million, five hundred five thousand, two hundred".