505284 has 48 divisors (see below), whose sum is σ = 1317120. Its totient is φ = 149760.

The previous prime is 505283. The next prime is 505301. The reversal of 505284 is 482505.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505284.

It is not an unprimeable number, because it can be changed into a prime (505283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6357 + ... + 6435.

It is an arithmetic number, because the mean of its divisors is an integer number (27440).

2⁵⁰⁵²⁸⁴ 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 505284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658560).

505284 is an abundant number, since it is smaller than the sum of its proper divisors (811836).

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

505284 is a wasteful number, since it uses less digits than its factorization.

505284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 505284 is about 710.8333137945. The cubic root of 505284 is about 79.6486676619.

Adding to 505284 its reverse (482505), we get a palindrome (987789).

The spelling of 505284 in words is "five hundred five thousand, two hundred eighty-four".