505243220 has 48 divisors (see below), whose sum is σ = 1112726160. Its totient is φ = 192439296.

The previous prime is 505243217. The next prime is 505243229. The reversal of 505243220 is 22342505.

It can be written as a sum of positive squares in 8 ways, for example, as 13645636 + 491597584 = 3694^2 + 22172^2 .

It is a super-2 number, since 2×505243220² = 510541422711936800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505243229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36374 + ... + 48306.

It is an arithmetic number, because the mean of its divisors is an integer number (23181795).

Almost surely, 2^505243220 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 505243220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556363080).

505243220 is an abundant number, since it is smaller than the sum of its proper divisors (607482940).

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

505243220 is a wasteful number, since it uses less digits than its factorization.

505243220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12044 (or 12042 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 505243220 is about 22477.6159767890. The cubic root of 505243220 is about 796.4652486688.

Adding to 505243220 its reverse (22342505), we get a palindrome (527585725).

The spelling of 505243220 in words is "five hundred five million, two hundred forty-three thousand, two hundred twenty".