542310400 has 102 divisors (see below), whose sum is σ = 1348982732. Its totient is φ = 216268800.

The previous prime is 542310397. The next prime is 542310401. The reversal of 542310400 is 4013245.

It is not an unprimeable number, because it can be changed into a prime (542310401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1638235 + ... + 1638565.

Almost surely, 2^542310400 is an apocalyptic number.

542310400 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 542310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674491366).

542310400 is an abundant number, since it is smaller than the sum of its proper divisors (806672332).

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

542310400 is an frugal number, since it uses more digits than its factorization.

542310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 542310400 is about 23287.5589102851. The cubic root of 542310400 is about 815.4850011959.

Adding to 542310400 its reverse (4013245), we get a palindrome (546323645).

The spelling of 542310400 in words is "five hundred forty-two million, three hundred ten thousand, four hundred".