505864 has 16 divisors (see below), whose sum is σ = 974700. Its totient is φ = 245952.

The previous prime is 505823. The next prime is 505867. The reversal of 505864 is 468505.

It can be written as a sum of positive squares in 2 ways, for example, as 504100 + 1764 = 710^2 + 42^2 .

It is not an unprimeable number, because it can be changed into a prime (505867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 559 + ... + 1150.

2⁵⁰⁵⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

505864 is a deficient number, since it is larger than the sum of its proper divisors (468836).

505864 is a wasteful number, since it uses less digits than its factorization.

505864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 505864 is about 711.2411686622. The cubic root of 505864 is about 79.6791314293.

It can be divided in two parts, 505 and 864, that added together give a square (1369 = 37²).

The spelling of 505864 in words is "five hundred five thousand, eight hundred sixty-four".