506640316 has 96 divisors (see below), whose sum is σ = 1147023360. Its totient is φ = 190425600.

The previous prime is 506640313. The next prime is 506640317. The reversal of 506640316 is 613046605.

506640316 = 399² + 400² + ... + 1165².

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506640313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665376 + ... + 666136.

It is an arithmetic number, because the mean of its divisors is an integer number (11948160).

Almost surely, 2^506640316 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 506640316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573511680).

506640316 is an abundant number, since it is smaller than the sum of its proper divisors (640383044).

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

506640316 is a wasteful number, since it uses less digits than its factorization.

506640316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 506640316 is about 22508.6720176913. The cubic root of 506640316 is about 797.1987002657.

The spelling of 506640316 in words is "five hundred six million, six hundred forty thousand, three hundred sixteen".