500820 has 48 divisors (see below), whose sum is σ = 1487808. Its totient is φ = 125440.

The previous prime is 500809. The next prime is 500831. The reversal of 500820 is 28005.

It is an interprime number because it is at equal distance from previous prime (500809) and next prime (500831).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 500820.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 500820.

It is an unprimeable number.

500820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (30996).

2⁵⁰⁰⁸²⁰ 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 500820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743904).

500820 is an abundant number, since it is smaller than the sum of its proper divisors (986988).

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

500820 is a wasteful number, since it uses less digits than its factorization.

500820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 500820 is about 707.6863712126. The cubic root of 500820 is about 79.4134178628.

Adding to 500820 its reverse (28005), we get a palindrome (528825).

The spelling of 500820 in words is "five hundred thousand, eight hundred twenty".