505224 has 32 divisors (see below), whose sum is σ = 1404000. Its totient is φ = 168336.

The previous prime is 505213. The next prime is 505231. The reversal of 505224 is 422505.

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 = 505197 and 505206.

It is an unprimeable number.

505224 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 7 ways as a sum of consecutive naturals, for example, 954 + ... + 1385.

It is an arithmetic number, because the mean of its divisors is an integer number (43875).

2⁵⁰⁵²²⁴ is an apocalyptic number.

505224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

505224 is an abundant number, since it is smaller than the sum of its proper divisors (898776).

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

505224 is a wasteful number, since it uses less digits than its factorization.

505224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2344 counting only the distinct ones).

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

The square root of 505224 is about 710.7911085544. The cubic root of 505224 is about 79.6455149073.

Adding to 505224 its reverse (422505), we get a palindrome (927729).

It can be divided in two parts, 505 and 224, that added together give a 6-th power (729 = 3⁶).

The spelling of 505224 in words is "five hundred five thousand, two hundred twenty-four".