502016 has 36 divisors (see below), whose sum is σ = 1048572. Its totient is φ = 239616.

The previous prime is 502013. The next prime is 502039. The reversal of 502016 is 610205.

It can be written as a sum of positive squares in 2 ways, for example, as 409600 + 92416 = 640^2 + 304^2 .

It is not an unprimeable number, because it can be changed into a prime (502013) 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 3 ways as a sum of consecutive naturals, for example, 9446 + ... + 9498.

It is an arithmetic number, because the mean of its divisors is an integer number (29127).

2⁵⁰²⁰¹⁶ 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 502016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524286).

502016 is an abundant number, since it is smaller than the sum of its proper divisors (546556).

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

502016 is an equidigital number, since it uses as much as digits as its factorization.

502016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 502016 is about 708.5308744155. The cubic root of 502016 is about 79.4765829004.

The spelling of 502016 in words is "five hundred two thousand, sixteen".