542080000 has 330 divisors, whose sum is σ = 1701024248. Its totient is φ = 168960000.

The previous prime is 542079997. The next prime is 542080001. The reversal of 542080000 is 80245.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 542080000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542080001) 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 29 ways as a sum of consecutive naturals, for example, 49279995 + ... + 49280005.

Almost surely, 2^542080000 is an apocalyptic number.

542080000 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 542080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850512124).

542080000 is an abundant number, since it is smaller than the sum of its proper divisors (1158944248).

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

542080000 is an equidigital number, since it uses as much as digits as its factorization.

542080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 542080000 is about 23282.6115373684. The cubic root of 542080000 is about 815.3694988571.

The spelling of 542080000 in words is "five hundred forty-two million, eighty thousand".