544125120 has 448 divisors, whose sum is σ = 2285853696. Its totient is φ = 106168320.

The previous prime is 544125073. The next prime is 544125149. The reversal of 544125120 is 21521445.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1256424 + ... + 1256856.

It is an arithmetic number, because the mean of its divisors is an integer number (5102352).

Almost surely, 2^544125120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142926848).

544125120 is an abundant number, since it is smaller than the sum of its proper divisors (1741728576).

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

544125120 is a wasteful number, since it uses less digits than its factorization.

544125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 544125120 is about 23326.4896630419. The cubic root of 544125120 is about 816.3936009641.

Adding to 544125120 its reverse (21521445), we get a palindrome (565646565).

The spelling of 544125120 in words is "five hundred forty-four million, one hundred twenty-five thousand, one hundred twenty".