542427600 has 480 divisors, whose sum is σ = 2131113600. Its totient is φ = 116121600.

The previous prime is 542427583. The next prime is 542427601. The reversal of 542427600 is 6724245.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542427601) 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 95 ways as a sum of consecutive naturals, for example, 4976346 + ... + 4976454.

It is an arithmetic number, because the mean of its divisors is an integer number (4439820).

Almost surely, 2^542427600 is an apocalyptic number.

542427600 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 542427600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065556800).

542427600 is an abundant number, since it is smaller than the sum of its proper divisors (1588686000).

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

542427600 is a wasteful number, since it uses less digits than its factorization.

542427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 542427600 is about 23290.0751394237. The cubic root of 542427600 is about 815.5437424370.

The spelling of 542427600 in words is "five hundred forty-two million, four hundred twenty-seven thousand, six hundred".