500460034624 has 63 divisors (see below), whose sum is σ = 1091725478851. Its totient is φ = 227453536640.

The previous prime is 500460034589. The next prime is 500460034663. The reversal of 500460034624 is 426430064005.

The square root of 500460034624 is 707432.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 500460034624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62249997 + ... + 62258035.

Almost surely, 2^500460034624 is an apocalyptic number.

500460034624 is the 707432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500460034624

500460034624 is an abundant number, since it is smaller than the sum of its proper divisors (591265444227).

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

500460034624 is an frugal number, since it uses more digits than its factorization.

500460034624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16112 (or 8052 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 500460034624 its reverse (426430064005), we get a palindrome (926890098629).

The spelling of 500460034624 in words is "five hundred billion, four hundred sixty million, thirty-four thousand, six hundred twenty-four".