542361984 has 128 divisors (see below), whose sum is σ = 1506988800. Its totient is φ = 172652544.

The previous prime is 542361979. The next prime is 542361991. The reversal of 542361984 is 489163245.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 837949 + ... + 838595.

It is an arithmetic number, because the mean of its divisors is an integer number (11773350).

Almost surely, 2^542361984 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 542361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753494400).

542361984 is an abundant number, since it is smaller than the sum of its proper divisors (964626816).

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

542361984 is a wasteful number, since it uses less digits than its factorization.

542361984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 748 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 542361984 is about 23288.6664281148. Note that the first 3 decimals coincide. The cubic root of 542361984 is about 815.5108564039.

It can be divided in two parts, 542361 and 984, that added together give a palindrome (543345).

The spelling of 542361984 in words is "five hundred forty-two million, three hundred sixty-one thousand, nine hundred eighty-four".