542757040 has 160 divisors (see below), whose sum is σ = 1571328000. Its totient is φ = 170118144.

The previous prime is 542757029. The next prime is 542757041. The reversal of 542757040 is 40757245.

It is a junction number, because it is equal to n+sod(n) for n = 542756987 and 542757005.

It is not an unprimeable number, because it can be changed into a prime (542757041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307681 + ... + 309439.

It is an arithmetic number, because the mean of its divisors is an integer number (9820800).

Almost surely, 2^542757040 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 542757040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785664000).

542757040 is an abundant number, since it is smaller than the sum of its proper divisors (1028570960).

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

542757040 is a wasteful number, since it uses less digits than its factorization.

542757040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 34.

The square root of 542757040 is about 23297.1466063980. The cubic root of 542757040 is about 815.7088141484.

The spelling of 542757040 in words is "five hundred forty-two million, seven hundred fifty-seven thousand, forty".