504438144 has 384 divisors, whose sum is σ = 1758153600. Its totient is φ = 126959616.

The previous prime is 504438133. The next prime is 504438149. The reversal of 504438144 is 441834405.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×504438144² = 508915682244329472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504438149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6077527 + ... + 6077609.

It is an arithmetic number, because the mean of its divisors is an integer number (4578525).

Almost surely, 2^504438144 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 504438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879076800).

504438144 is an abundant number, since it is smaller than the sum of its proper divisors (1253715456).

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

504438144 is a wasteful number, since it uses less digits than its factorization.

504438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 504438144 is about 22459.7004432383. The cubic root of 504438144 is about 796.0419832574.

The spelling of 504438144 in words is "five hundred four million, four hundred thirty-eight thousand, one hundred forty-four".