542442400 has 144 divisors (see below), whose sum is σ = 1409909760. Its totient is φ = 203212800.

The previous prime is 542442391. The next prime is 542442421. The reversal of 542442400 is 4244245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1930260 + ... + 1930540.

It is an arithmetic number, because the mean of its divisors is an integer number (9791040).

Almost surely, 2^542442400 is an apocalyptic number.

542442400 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 542442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704954880).

542442400 is an abundant number, since it is smaller than the sum of its proper divisors (867467360).

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

542442400 is a wasteful number, since it uses less digits than its factorization.

542442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

The square root of 542442400 is about 23290.3928691639. The cubic root of 542442400 is about 815.5511596712.

Adding to 542442400 its reverse (4244245), we get a palindrome (546686645).

It can be divided in two parts, 54244 and 2400, that added together give a square (56644 = 238²).

The spelling of 542442400 in words is "five hundred forty-two million, four hundred forty-two thousand, four hundred".