542337120 has 576 divisors, whose sum is σ = 2195968320. Its totient is φ = 125411328.

The previous prime is 542337109. The next prime is 542337137. The reversal of 542337120 is 21733245.

542337120 is a `hidden beast` number, since 542 + 33 + 71 + 20 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14657742 + ... + 14657778.

It is an arithmetic number, because the mean of its divisors is an integer number (3812445).

Almost surely, 2^542337120 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 542337120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097984160).

542337120 is an abundant number, since it is smaller than the sum of its proper divisors (1653631200).

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

542337120 is a wasteful number, since it uses less digits than its factorization.

542337120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 542337120 is about 23288.1326001034. The cubic root of 542337120 is about 815.4983941417.

The spelling of 542337120 in words is "five hundred forty-two million, three hundred thirty-seven thousand, one hundred twenty".