505362 has 64 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 129600.

The previous prime is 505357. The next prime is 505367. The reversal of 505362 is 263505.

It is an interprime number because it is at equal distance from previous prime (505357) and next prime (505367).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505362.

It is not an unprimeable number, because it can be changed into a prime (505367) by changing a digit.

505362 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 31 ways as a sum of consecutive naturals, for example, 16287 + ... + 16317.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2⁵⁰⁵³⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

505362 is an abundant number, since it is smaller than the sum of its proper divisors (784878).

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

505362 is a wasteful number, since it uses less digits than its factorization.

505362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 505362 is about 710.8881768605. Note that the first 3 decimals coincide. The cubic root of 505362 is about 79.6527658696.

Adding to 505362 its reverse (263505), we get a palindrome (768867).

It can be divided in two parts, 5053 and 62, that added together give a palindrome (5115).

The spelling of 505362 in words is "five hundred five thousand, three hundred sixty-two".