503643364 has 45 divisors (see below), whose sum is σ = 1032720297. Its totient is φ = 214904592.

The previous prime is 503643347. The next prime is 503643367. The reversal of 503643364 is 463346305.

The square root of 503643364 is 22442.

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

It can be written as a sum of positive squares in only one way, i.e., 469068964 + 34574400 = 21658^2 + 5880^2 .

It is not an unprimeable number, because it can be changed into a prime (503643367) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2199202 + ... + 2199430.

Almost surely, 2^503643364 is an apocalyptic number.

503643364 is the 22442-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503643364

503643364 is an abundant number, since it is smaller than the sum of its proper divisors (529076933).

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

503643364 is an frugal number, since it uses more digits than its factorization.

503643364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

The cubic root of 503643364 is about 795.6236889476.

Adding to 503643364 its reverse (463346305), we get a palindrome (966989669).

It can be divided in two parts, 5036 and 43364, that added together give a square (48400 = 220²).

The spelling of 503643364 in words is "five hundred three million, six hundred forty-three thousand, three hundred sixty-four".