504144 has 50 divisors (see below), whose sum is σ = 1462890. Its totient is φ = 167616.

The previous prime is 504143. The next prime is 504149. The reversal of 504144 is 441405.

504144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 374544 + 129600 = 612^2 + 360^2 .

It is a super-2 number, since 2×504144² = 508322345472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504143) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1102 + ... + 1490.

2⁵⁰⁴¹⁴⁴ is an apocalyptic number.

504144 is a gapful number since it is divisible by the number (54) 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 504144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731445).

504144 is an abundant number, since it is smaller than the sum of its proper divisors (958746).

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

504144 is a wasteful number, since it uses less digits than its factorization.

504144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 504144 is about 710.0309852394. The cubic root of 504144 is about 79.5887225928.

Adding to 504144 its reverse (441405), we get a palindrome (945549).

The spelling of 504144 in words is "five hundred four thousand, one hundred forty-four".