542041000 has 64 divisors (see below), whose sum is σ = 1323578880. Its totient is φ = 207380800.

The previous prime is 542040979. The next prime is 542041007. The reversal of 542041000 is 140245.

It is not an unprimeable number, because it can be changed into a prime (542041007) 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 15 ways as a sum of consecutive naturals, for example, 11217 + ... + 34783.

It is an arithmetic number, because the mean of its divisors is an integer number (20680920).

Almost surely, 2^542041000 is an apocalyptic number.

542041000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661789440).

542041000 is an abundant number, since it is smaller than the sum of its proper divisors (781537880).

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

542041000 is a wasteful number, since it uses less digits than its factorization.

542041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23611 (or 23597 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 542041000 is about 23281.7739873919. The cubic root of 542041000 is about 815.3499444414.

Adding to 542041000 its reverse (140245), we get a palindrome (542181245).

The spelling of 542041000 in words is "five hundred forty-two million, forty-one thousand".