506040224 has 96 divisors (see below), whose sum is σ = 1120754880. Its totient is φ = 223506432.

The previous prime is 506040193. The next prime is 506040247. The reversal of 506040224 is 422040605.

It is a self number, because there is not a number n which added to its sum of digits gives 506040224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1787987 + ... + 1788269.

It is an arithmetic number, because the mean of its divisors is an integer number (11674530).

Almost surely, 2^506040224 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 506040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560377440).

506040224 is an abundant number, since it is smaller than the sum of its proper divisors (614714656).

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

506040224 is a wasteful number, since it uses less digits than its factorization.

506040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 506040224 is about 22495.3378280923. The cubic root of 506040224 is about 796.8838275972.

Adding to 506040224 its reverse (422040605), we get a palindrome (928080829).

The spelling of 506040224 in words is "five hundred six million, forty thousand, two hundred twenty-four".