506792 has 32 divisors (see below), whose sum is σ = 1118880. Its totient is φ = 212160.

The previous prime is 506791. The next prime is 506797. The reversal of 506792 is 297605.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506792.

It is not an unprimeable number, because it can be changed into a prime (506791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 923 + ... + 1365.

It is an arithmetic number, because the mean of its divisors is an integer number (34965).

2⁵⁰⁶⁷⁹² is an apocalyptic number.

506792 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 506792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559440).

506792 is an abundant number, since it is smaller than the sum of its proper divisors (612088).

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

506792 is a wasteful number, since it uses less digits than its factorization.

506792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 506792 is about 711.8932504245. The cubic root of 506792 is about 79.7278250602.

The spelling of 506792 in words is "five hundred six thousand, seven hundred ninety-two".