502406968 has 64 divisors (see below), whose sum is σ = 1147104000. Its totient is φ = 201491712.

The previous prime is 502406959. The next prime is 502406999. The reversal of 502406968 is 869604205.

It is a happy number.

It is a super-2 number, since 2×502406968² = 504825522989906048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 502406968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85468 + ... + 91156.

It is an arithmetic number, because the mean of its divisors is an integer number (17923500).

Almost surely, 2^502406968 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 502406968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573552000).

502406968 is an abundant number, since it is smaller than the sum of its proper divisors (644697032).

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

502406968 is a wasteful number, since it uses less digits than its factorization.

502406968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5804 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 502406968 is about 22414.4365978715. The cubic root of 502406968 is about 794.9720955885.

The spelling of 502406968 in words is "five hundred two million, four hundred six thousand, nine hundred sixty-eight".