542598336 has 168 divisors, whose sum is σ = 1855037184. Its totient is φ = 148262400.

The previous prime is 542598283. The next prime is 542598373. The reversal of 542598336 is 633895245.

542598336 is a `hidden beast` number, since 54 + 2 + 598 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 542598291 and 542598300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89811 + ... + 95661.

It is an arithmetic number, because the mean of its divisors is an integer number (11041888).

Almost surely, 2^542598336 is an apocalyptic number.

542598336 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 542598336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927518592).

542598336 is an abundant number, since it is smaller than the sum of its proper divisors (1312438848).

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

542598336 is a wasteful number, since it uses less digits than its factorization.

542598336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5899 (or 5886 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 542598336 is about 23293.7402750181. The cubic root of 542598336 is about 815.6293010563.

The spelling of 542598336 in words is "five hundred forty-two million, five hundred ninety-eight thousand, three hundred thirty-six".