542406016 has 32 divisors (see below), whose sum is σ = 1088497080. Its totient is φ = 269214720.

The previous prime is 542406001. The next prime is 542406017. The reversal of 542406016 is 610604245.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542406017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2071 + ... + 33001.

Almost surely, 2^542406016 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 542406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544248540).

542406016 is an abundant number, since it is smaller than the sum of its proper divisors (546091064).

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

542406016 is a wasteful number, since it uses less digits than its factorization.

542406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31082 (or 31070 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 542406016 is about 23289.6117614700. The cubic root of 542406016 is about 815.5329250612.

The spelling of 542406016 in words is "five hundred forty-two million, four hundred six thousand, sixteen".