506838996 has 72 divisors (see below), whose sum is σ = 1311765000. Its totient is φ = 164954880.

The previous prime is 506838989. The next prime is 506839009. The reversal of 506838996 is 699838605.

It can be written as a sum of positive squares in 4 ways, for example, as 21958596 + 484880400 = 4686^2 + 22020^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326430 + ... + 327978.

Almost surely, 2^506838996 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 506838996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655882500).

506838996 is an abundant number, since it is smaller than the sum of its proper divisors (804926004).

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

506838996 is a wasteful number, since it uses less digits than its factorization.

506838996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 506838996 is about 22513.0849951756. The cubic root of 506838996 is about 797.3028943282.

The spelling of 506838996 in words is "five hundred six million, eight hundred thirty-eight thousand, nine hundred ninety-six".