504219456 has 252 divisors, whose sum is σ = 1660463532. Its totient is φ = 145391616.

The previous prime is 504219451. The next prime is 504219467. The reversal of 504219456 is 654912405.

It can be written as a sum of positive squares in 6 ways, for example, as 1742400 + 502477056 = 1320^2 + 22416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 504219456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504219451) 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 35 ways as a sum of consecutive naturals, for example, 2163916 + ... + 2164148.

It is an arithmetic number, because the mean of its divisors is an integer number (6589141).

Almost surely, 2^504219456 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 504219456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830231766).

504219456 is an abundant number, since it is smaller than the sum of its proper divisors (1156244076).

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

504219456 is a wasteful number, since it uses less digits than its factorization.

504219456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 504219456 is about 22454.8314622934. The cubic root of 504219456 is about 795.9269311648.

The spelling of 504219456 in words is "five hundred four million, two hundred nineteen thousand, four hundred fifty-six".