503820 has 60 divisors (see below), whose sum is σ = 1585584. Its totient is φ = 133920.

The previous prime is 503819. The next prime is 503821. The reversal of 503820 is 28305.

It is an interprime number because it is at equal distance from previous prime (503819) and next prime (503821).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 503793 and 503802.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 503820.

It is not an unprimeable number, because it can be changed into a prime (503821) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1465 + ... + 1775.

2⁵⁰³⁸²⁰ 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 503820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792792).

503820 is an abundant number, since it is smaller than the sum of its proper divisors (1081764).

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

503820 is a wasteful number, since it uses less digits than its factorization.

503820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 503820 is about 709.8027895127. The cubic root of 503820 is about 79.5716690841.

The spelling of 503820 in words is "five hundred three thousand, eight hundred twenty".