542593920 has 256 divisors, whose sum is σ = 1970542080. Its totient is φ = 125706240.

The previous prime is 542593871. The next prime is 542593921. The reversal of 542593920 is 29395245.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542593921) 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 31 ways as a sum of consecutive naturals, for example, 485202 + ... + 486318.

It is an arithmetic number, because the mean of its divisors is an integer number (7697430).

Almost surely, 2^542593920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985271040).

542593920 is an abundant number, since it is smaller than the sum of its proper divisors (1427948160).

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

542593920 is a wasteful number, since it uses less digits than its factorization.

542593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 542593920 is about 23293.6454854108. The cubic root of 542593920 is about 815.6270883521.

The spelling of 542593920 in words is "five hundred forty-two million, five hundred ninety-three thousand, nine hundred twenty".