506817792 has 108 divisors (see below), whose sum is σ = 1573779844. Its totient is φ = 155934720.

The previous prime is 506817781. The next prime is 506817797. The reversal of 506817792 is 297718605.

It can be written as a sum of positive squares in 2 ways, for example, as 211527936 + 295289856 = 14544^2 + 17184^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506817797) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21492 + ... + 38412.

Almost surely, 2^506817792 is an apocalyptic number.

506817792 is a gapful number since it is divisible by the number (52) 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 506817792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786889922).

506817792 is an abundant number, since it is smaller than the sum of its proper divisors (1066962052).

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

506817792 is a wasteful number, since it uses less digits than its factorization.

506817792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16956 (or 16939 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 506817792 is about 22512.6140641197. The cubic root of 506817792 is about 797.2917755795.

The spelling of 506817792 in words is "five hundred six million, eight hundred seventeen thousand, seven hundred ninety-two".