542532000 has 192 divisors, whose sum is σ = 1839801600. Its totient is φ = 139596800.

The previous prime is 542531993. The next prime is 542532013. The reversal of 542532000 is 235245.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347221 + ... + 348779.

It is an arithmetic number, because the mean of its divisors is an integer number (9582300).

Almost surely, 2^542532000 is an apocalyptic number.

542532000 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 542532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919900800).

542532000 is an abundant number, since it is smaller than the sum of its proper divisors (1297269600).

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

542532000 is a wasteful number, since it uses less digits than its factorization.

542532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 542532000 is about 23292.3163296397. The cubic root of 542532000 is about 815.5960611274.

Adding to 542532000 its reverse (235245), we get a palindrome (542767245).

The spelling of 542532000 in words is "five hundred forty-two million, five hundred thirty-two thousand".