542656500 has 96 divisors (see below), whose sum is σ = 1595193600. Its totient is φ = 143337600.

The previous prime is 542656493. The next prime is 542656529. The reversal of 542656500 is 5656245.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 161841 + ... + 165159.

It is an arithmetic number, because the mean of its divisors is an integer number (16616600).

Almost surely, 2^542656500 is an apocalyptic number.

542656500 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 542656500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797596800).

542656500 is an abundant number, since it is smaller than the sum of its proper divisors (1052537100).

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

542656500 is a wasteful number, since it uses less digits than its factorization.

542656500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 542656500 is about 23294.9887314847. The cubic root of 542656500 is about 815.6584438952.

The spelling of 542656500 in words is "five hundred forty-two million, six hundred fifty-six thousand, five hundred".