542784 has 56 divisors (see below), whose sum is σ = 1572768. Its totient is φ = 163840.

The previous prime is 542783. The next prime is 542791. The reversal of 542784 is 487245.

It is a super-2 number, since 2×542784² = 589228941312, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 542784.

It is not an unprimeable number, because it can be changed into a prime (542783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1984 + ... + 2240.

2⁵⁴²⁷⁸⁴ 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 542784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786384).

542784 is an abundant number, since it is smaller than the sum of its proper divisors (1029984).

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

542784 is a wasteful number, since it uses less digits than its factorization.

542784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 542784 is about 736.7387596699. The cubic root of 542784 is about 81.5722319974.

It can be divided in two parts, 542 and 784, that added together give a triangular number (1326 = T₅₁).

The spelling of 542784 in words is "five hundred forty-two thousand, seven hundred eighty-four".