471928832 has 78 divisors (see below), whose sum is σ = 984541818. Its totient is φ = 226164736.

The previous prime is 471928813. The next prime is 471928837. The reversal of 471928832 is 238829174.

It can be written as a sum of positive squares in 3 ways, for example, as 93392896 + 378535936 = 9664^2 + 19456^2 .

Its product of digits (193536) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471928837) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3444668 + ... + 3444804.

It is an arithmetic number, because the mean of its divisors is an integer number (12622331).

Almost surely, 2^471928832 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 471928832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492270909).

471928832 is an abundant number, since it is smaller than the sum of its proper divisors (512612986).

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

471928832 is an equidigital number, since it uses as much as digits as its factorization.

471928832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 168 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 471928832 is about 21723.9230342956. The cubic root of 471928832 is about 778.5601488957.

The spelling of 471928832 in words is "four hundred seventy-one million, nine hundred twenty-eight thousand, eight hundred thirty-two".