542277120 has 480 divisors, whose sum is σ = 2216750976. Its totient is φ = 111820800.

The previous prime is 542277107. The next prime is 542277121. The reversal of 542277120 is 21772245.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542277121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4139455 + ... + 4139585.

Almost surely, 2^542277120 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 542277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108375488).

542277120 is an abundant number, since it is smaller than the sum of its proper divisors (1674473856).

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

542277120 is a wasteful number, since it uses less digits than its factorization.

542277120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 542277120 is about 23286.8443546995. The cubic root of 542277120 is about 815.4683195464.

The spelling of 542277120 in words is "five hundred forty-two million, two hundred seventy-seven thousand, one hundred twenty".