506438856 has 192 divisors, whose sum is σ = 1723438080. Its totient is φ = 130515840.

The previous prime is 506438851. The next prime is 506438879. The reversal of 506438856 is 658834605.

It is not an unprimeable number, because it can be changed into a prime (506438851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925575 + ... + 926121.

It is an arithmetic number, because the mean of its divisors is an integer number (8976240).

Almost surely, 2^506438856 is an apocalyptic number.

506438856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506438856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861719040).

506438856 is an abundant number, since it is smaller than the sum of its proper divisors (1216999224).

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

506438856 is a wasteful number, since it uses less digits than its factorization.

506438856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 506438856 is about 22504.1964086701. The cubic root of 506438856 is about 797.0930204654.

The spelling of 506438856 in words is "five hundred six million, four hundred thirty-eight thousand, eight hundred fifty-six".