500864 has 64 divisors (see below), whose sum is σ = 1256640. Its totient is φ = 193536.

The previous prime is 500861. The next prime is 500873. The reversal of 500864 is 468005.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (500861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11627 + ... + 11669.

It is an arithmetic number, because the mean of its divisors is an integer number (19635).

2⁵⁰⁰⁸⁶⁴ 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 500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628320).

500864 is an abundant number, since it is smaller than the sum of its proper divisors (755776).

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

500864 is a wasteful number, since it uses less digits than its factorization.

500864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 500864 is about 707.7174577471. The cubic root of 500864 is about 79.4157434409.

Adding to 500864 its reverse (468005), we get a palindrome (968869).

The spelling of 500864 in words is "five hundred thousand, eight hundred sixty-four".