544144000 has 128 divisors (see below), whose sum is σ = 1374796800. Its totient is φ = 214144000.

The previous prime is 544143997. The next prime is 544144009. The reversal of 544144000 is 441445.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (544144009) 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, 1135761 + ... + 1136239.

It is an arithmetic number, because the mean of its divisors is an integer number (10740600).

Almost surely, 2^544144000 is an apocalyptic number.

544144000 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 544144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398400).

544144000 is an abundant number, since it is smaller than the sum of its proper divisors (830652800).

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

544144000 is an equidigital number, since it uses as much as digits as its factorization.

544144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 544144000 is about 23326.8943496557. The cubic root of 544144000 is about 816.4030432366.

Adding to 544144000 its reverse (441445), we get a palindrome (544585445).

The spelling of 544144000 in words is "five hundred forty-four million, one hundred forty-four thousand".