542811584 has 56 divisors (see below), whose sum is σ = 1254300768. Its totient is φ = 228234240.

The previous prime is 542811559. The next prime is 542811613. The reversal of 542811584 is 485118245.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12314 + ... + 35174.

It is an arithmetic number, because the mean of its divisors is an integer number (22398228).

Almost surely, 2^542811584 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 542811584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627150384).

542811584 is an abundant number, since it is smaller than the sum of its proper divisors (711489184).

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

542811584 is a wasteful number, since it uses less digits than its factorization.

542811584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22933 (or 22923 counting only the distinct ones).

The product of its digits is 51200, while the sum is 38.

The square root of 542811584 is about 23298.3171924498. The cubic root of 542811584 is about 815.7361379341.

The spelling of 542811584 in words is "five hundred forty-two million, eight hundred eleven thousand, five hundred eighty-four".