542355120 has 120 divisors (see below), whose sum is σ = 1826441136. Its totient is φ = 144228864.

The previous prime is 542355119. The next prime is 542355161. The reversal of 542355120 is 21553245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 335434 + ... + 337046.

Almost surely, 2^542355120 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 542355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913220568).

542355120 is an abundant number, since it is smaller than the sum of its proper divisors (1284086016).

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

542355120 is a wasteful number, since it uses less digits than its factorization.

542355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 542355120 is about 23288.5190598286. The cubic root of 542355120 is about 815.5074160877.

It can be divided in two parts, 5423551 and 20, that added together give a triangular number (5423571 = T₃₂₉₃).

The spelling of 542355120 in words is "five hundred forty-two million, three hundred fifty-five thousand, one hundred twenty".