500506384 has 135 divisors (see below), whose sum is σ = 1224352533. Its totient is φ = 197589504.

The previous prime is 500506373. The next prime is 500506397. The reversal of 500506384 is 483605005.

The square root of 500506384 is 22372.

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., 389667600 + 110838784 = 19740^2 + 10528^2 .

It is a Duffinian number.

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, 10649049 + ... + 10649095.

Almost surely, 2^500506384 is an apocalyptic number.

500506384 is the 22372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500506384

500506384 is an abundant number, since it is smaller than the sum of its proper divisors (723846149).

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

500506384 is a wasteful number, since it uses less digits than its factorization.

500506384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The cubic root of 500506384 is about 793.9683804111.

Multiplying 500506384 by its product of nonzero digits (14400), we get a square (7207291929600 = 2684640²).

The spelling of 500506384 in words is "five hundred million, five hundred six thousand, three hundred eighty-four".