502688 has 24 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 240064.

The previous prime is 502687. The next prime is 502699. The reversal of 502688 is 886205.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 502688.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 502688.

It is not an unprimeable number, because it can be changed into a prime (502687) 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, 395 + ... + 1077.

It is an arithmetic number, because the mean of its divisors is an integer number (43092).

2⁵⁰²⁶⁸⁸ 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 502688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104).

502688 is an abundant number, since it is smaller than the sum of its proper divisors (531520).

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

502688 is a wasteful number, since it uses less digits than its factorization.

502688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 502688 is about 709.0049365131. The cubic root of 502688 is about 79.5120296130.

The spelling of 502688 in words is "five hundred two thousand, six hundred eighty-eight".