542853120 has 192 divisors, whose sum is σ = 1783192320. Its totient is φ = 140902400.

The previous prime is 542853119. The next prime is 542853131. The reversal of 542853120 is 21358245.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1259305 + ... + 1259735.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 2^542853120 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 542853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891596160).

542853120 is an abundant number, since it is smaller than the sum of its proper divisors (1240339200).

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

542853120 is a wasteful number, since it uses less digits than its factorization.

542853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 542853120 is about 23299.2085702498. The cubic root of 542853120 is about 815.7569441420.

The spelling of 542853120 in words is "five hundred forty-two million, eight hundred fifty-three thousand, one hundred twenty".