505064 has 32 divisors (see below), whose sum is σ = 1123200. Its totient is φ = 208320.

The previous prime is 505061. The next prime is 505067. The reversal of 505064 is 460505.

It is an interprime number because it is at equal distance from previous prime (505061) and next prime (505067).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505064.

It is not an unprimeable number, because it can be changed into a prime (505061) 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 7 ways as a sum of consecutive naturals, for example, 1469 + ... + 1779.

It is an arithmetic number, because the mean of its divisors is an integer number (35100).

2⁵⁰⁵⁰⁶⁴ 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 505064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561600).

505064 is an abundant number, since it is smaller than the sum of its proper divisors (618136).

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

505064 is a wasteful number, since it uses less digits than its factorization.

505064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 505064 is about 710.6785489938. The cubic root of 505064 is about 79.6371063415.

Adding to 505064 its reverse (460505), we get a palindrome (965569).

The spelling of 505064 in words is "five hundred five thousand, sixty-four".