500009664 has 224 divisors, whose sum is σ = 1704148992. Its totient is φ = 125568000.

The previous prime is 500009663. The next prime is 500009693. The reversal of 500009664 is 466900005.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (500009663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457759 + ... + 458849.

It is an arithmetic number, because the mean of its divisors is an integer number (7607808).

Almost surely, 2^500009664 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 500009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852074496).

500009664 is an abundant number, since it is smaller than the sum of its proper divisors (1204139328).

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

500009664 is a wasteful number, since it uses less digits than its factorization.

500009664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 500009664 is about 22360.8958675631. The cubic root of 500009664 is about 793.7056394991.

Adding to 500009664 its reverse (466900005), we get a palindrome (966909669).

The spelling of 500009664 in words is "five hundred million, nine thousand, six hundred sixty-four".