506823960 has 128 divisors (see below), whose sum is σ = 1608284160. Its totient is φ = 127564800.

The previous prime is 506823931. The next prime is 506823971. The reversal of 506823960 is 69328605.

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, 150859 + ... + 154181.

It is an arithmetic number, because the mean of its divisors is an integer number (12564720).

Almost surely, 2^506823960 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 506823960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804142080).

506823960 is an abundant number, since it is smaller than the sum of its proper divisors (1101460200).

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

506823960 is a wasteful number, since it uses less digits than its factorization.

506823960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 506823960 is about 22512.7510535696. The cubic root of 506823960 is about 797.2950099277.

The spelling of 506823960 in words is "five hundred six million, eight hundred twenty-three thousand, nine hundred sixty".