542390200 has 96 divisors (see below), whose sum is σ = 1389888720. Its totient is φ = 195200000.

The previous prime is 542390197. The next prime is 542390231. The reversal of 542390200 is 2093245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220980 + ... + 223420.

Almost surely, 2^542390200 is an apocalyptic number.

542390200 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 542390200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694944360).

542390200 is an abundant number, since it is smaller than the sum of its proper divisors (847498520).

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

542390200 is a wasteful number, since it uses less digits than its factorization.

542390200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 542390200 is about 23289.2722084654. The cubic root of 542390200 is about 815.5249982845.

The spelling of 542390200 in words is "five hundred forty-two million, three hundred ninety thousand, two hundred".