505820 has 24 divisors (see below), whose sum is σ = 1214304. Its totient is φ = 173376.

The previous prime is 505819. The next prime is 505823. The reversal of 505820 is 28505.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 505792 and 505801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505823) 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, 1667 + ... + 1946.

It is an arithmetic number, because the mean of its divisors is an integer number (50596).

2⁵⁰⁵⁸²⁰ is an apocalyptic number.

It is an amenable number.

505820 is an abundant number, since it is smaller than the sum of its proper divisors (708484).

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

505820 is a wasteful number, since it uses less digits than its factorization.

505820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3629 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 505820 is about 711.2102361468. The cubic root of 505820 is about 79.6768212013.

The spelling of 505820 in words is "five hundred five thousand, eight hundred twenty".