504213606400 has 351 divisors, whose sum is σ = 1459029812079. Its totient is φ = 172327895040.

The previous prime is 504213606383. The next prime is 504213606437. The reversal of 504213606400 is 4606312405.

The square root of 504213606400 is 710080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 203523690496 + 300689915904 = 451136^2 + 548352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1590579042 + ... + 1590579358.

Almost surely, 2^504213606400 is an apocalyptic number.

504213606400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

504213606400 is the 710080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504213606400

504213606400 is an abundant number, since it is smaller than the sum of its proper divisors (954816205679).

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

504213606400 is an frugal number, since it uses more digits than its factorization.

504213606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 504213606400 its reverse (4606312405), we get a palindrome (508819918805).

The spelling of 504213606400 in words is "five hundred four billion, two hundred thirteen million, six hundred six thousand, four hundred".