542416 has 40 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 223104.

The previous prime is 542401. The next prime is 542441. The reversal of 542416 is 614245.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

542416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3165 + ... + 3331.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2⁵⁴²⁴¹⁶ is an apocalyptic number.

542416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

542416 is an abundant number, since it is smaller than the sum of its proper divisors (707504).

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

542416 is a wasteful number, since it uses less digits than its factorization.

542416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 542416 is about 736.4889680097. The cubic root of 542416 is about 81.5537928835.

The spelling of 542416 in words is "five hundred forty-two thousand, four hundred sixteen".