502686464 has 144 divisors (see below), whose sum is σ = 1258286400. Its totient is φ = 195428352.

The previous prime is 502686463. The next prime is 502686467. The reversal of 502686464 is 464686205.

It is not an unprimeable number, because it can be changed into a prime (502686463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883172 + ... + 883740.

It is an arithmetic number, because the mean of its divisors is an integer number (8738100).

Almost surely, 2^502686464 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 502686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629143200).

502686464 is an abundant number, since it is smaller than the sum of its proper divisors (755599936).

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

502686464 is a wasteful number, since it uses less digits than its factorization.

502686464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The square root of 502686464 is about 22420.6704627672. The cubic root of 502686464 is about 795.1194862797.

The spelling of 502686464 in words is "five hundred two million, six hundred eighty-six thousand, four hundred sixty-four".