542277288 has 256 divisors, whose sum is σ = 1854144000. Its totient is φ = 143824896.

The previous prime is 542277287. The next prime is 542277401. The reversal of 542277288 is 882772245.

542277288 is a `hidden beast` number, since 542 + 27 + 7 + 2 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542277287) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7428420 + ... + 7428492.

It is an arithmetic number, because the mean of its divisors is an integer number (7242750).

Almost surely, 2^542277288 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 542277288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927072000).

542277288 is an abundant number, since it is smaller than the sum of its proper divisors (1311866712).

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

542277288 is a wasteful number, since it uses less digits than its factorization.

542277288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 102 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 542277288 is about 23286.8479618861. The cubic root of 542277288 is about 815.4684037583.

The spelling of 542277288 in words is "five hundred forty-two million, two hundred seventy-seven thousand, two hundred eighty-eight".