542520000 has 420 divisors, whose sum is σ = 2135297736. Its totient is φ = 130560000.

The previous prime is 542519987. The next prime is 542520047. The reversal of 542520000 is 25245.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3959932 + ... + 3960068.

Almost surely, 2^542520000 is an apocalyptic number.

542520000 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 542520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067648868).

542520000 is an abundant number, since it is smaller than the sum of its proper divisors (1592777736).

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

542520000 is a wasteful number, since it uses less digits than its factorization.

542520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 542520000 is about 23292.0587325380. The cubic root of 542520000 is about 815.5900478262.

Adding to 542520000 its reverse (25245), we get a palindrome (542545245).

It can be divided in two parts, 5425 and 20000, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 542520000 in words is "five hundred forty-two million, five hundred twenty thousand".