506993872 has 160 divisors (see below), whose sum is σ = 1307059200. Its totient is φ = 186088320.

The previous prime is 506993867. The next prime is 506993887. The reversal of 506993872 is 278399605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2832279 + ... + 2832457.

It is an arithmetic number, because the mean of its divisors is an integer number (8169120).

Almost surely, 2^506993872 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 506993872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653529600).

506993872 is an abundant number, since it is smaller than the sum of its proper divisors (800065328).

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

506993872 is a wasteful number, since it uses less digits than its factorization.

506993872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The square root of 506993872 is about 22516.5244209669. The cubic root of 506993872 is about 797.3840973062.

The spelling of 506993872 in words is "five hundred six million, nine hundred ninety-three thousand, eight hundred seventy-two".