471728664 has 96 divisors (see below), whose sum is σ = 1440390000. Its totient is φ = 142940160.

The previous prime is 471728639. The next prime is 471728669. The reversal of 471728664 is 466827174.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471728669) 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, 17112 + ... + 35160.

Almost surely, 2^471728664 is an apocalyptic number.

471728664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471728664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720195000).

471728664 is an abundant number, since it is smaller than the sum of its proper divisors (968661336).

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

471728664 is a wasteful number, since it uses less digits than its factorization.

471728664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18086 (or 18065 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 471728664 is about 21719.3154588260. The cubic root of 471728664 is about 778.4500582379.

The spelling of 471728664 in words is "four hundred seventy-one million, seven hundred twenty-eight thousand, six hundred sixty-four".