500945664 has 216 divisors, whose sum is σ = 1478408848. Its totient is φ = 150405120.

The previous prime is 500945663. The next prime is 500945677. The reversal of 500945664 is 466549005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500945663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8212194 + ... + 8212254.

Almost surely, 2^500945664 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 500945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739204424).

500945664 is an abundant number, since it is smaller than the sum of its proper divisors (977463184).

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

500945664 is a wasteful number, since it uses less digits than its factorization.

500945664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 500945664 is about 22381.8154759617. The cubic root of 500945664 is about 794.2005935287.

The spelling of 500945664 in words is "five hundred million, nine hundred forty-five thousand, six hundred sixty-four".