542306016 has 264 divisors, whose sum is σ = 1874913264. Its totient is φ = 151165440.

The previous prime is 542305997. The next prime is 542306027. The reversal of 542306016 is 610603245.

542306016 is a `hidden beast` number, since 54 + 2 + 3 + 0 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 13226956 + ... + 13226996.

Almost surely, 2^542306016 is an apocalyptic number.

542306016 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 542306016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937456632).

542306016 is an abundant number, since it is smaller than the sum of its proper divisors (1332607248).

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

542306016 is an frugal number, since it uses more digits than its factorization.

542306016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 542306016 is about 23287.4647825821. The cubic root of 542306016 is about 815.4828037484.

The spelling of 542306016 in words is "five hundred forty-two million, three hundred six thousand, sixteen".