542304 has 72 divisors (see below), whose sum is σ = 1769040. Its totient is φ = 154368.

The previous prime is 542299. The next prime is 542323. The reversal of 542304 is 403245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1882 + ... + 2150.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁵⁴²³⁰⁴ 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 542304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884520).

542304 is an abundant number, since it is smaller than the sum of its proper divisors (1226736).

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

542304 is a wasteful number, since it uses less digits than its factorization.

542304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 542304 is about 736.4129276432. The cubic root of 542304 is about 81.5481793239.

Adding to 542304 its reverse (403245), we get a palindrome (945549).

The spelling of 542304 in words is "five hundred forty-two thousand, three hundred four".