505042020 has 144 divisors (see below), whose sum is σ = 1827866880. Its totient is φ = 115432128.

The previous prime is 505042019. The next prime is 505042037. The reversal of 505042020 is 20240505.

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 = 505041984 and 505042002.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16917 + ... + 36003.

It is an arithmetic number, because the mean of its divisors is an integer number (12693520).

Almost surely, 2^505042020 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 505042020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913933440).

505042020 is an abundant number, since it is smaller than the sum of its proper divisors (1322824860).

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

505042020 is a wasteful number, since it uses less digits than its factorization.

505042020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19119 (or 19104 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 505042020 is about 22473.1399675257. The cubic root of 505042020 is about 796.3595107601.

Adding to 505042020 its reverse (20240505), we get a palindrome (525282525).

The spelling of 505042020 in words is "five hundred five million, forty-two thousand, twenty".