471880032 has 96 divisors (see below), whose sum is σ = 1341980640. Its totient is φ = 144322560.

The previous prime is 471880027. The next prime is 471880037. The reversal of 471880032 is 230088174.

It is an interprime number because it is at equal distance from previous prime (471880027) and next prime (471880037).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 471879975 and 471880002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471880037) 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, 224844 + ... + 226932.

It is an arithmetic number, because the mean of its divisors is an integer number (13978965).

Almost surely, 2^471880032 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 471880032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670990320).

471880032 is an abundant number, since it is smaller than the sum of its proper divisors (870100608).

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

471880032 is a wasteful number, since it uses less digits than its factorization.

471880032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 471880032 is about 21722.7998195444. The cubic root of 471880032 is about 778.5333121904.

The spelling of 471880032 in words is "four hundred seventy-one million, eight hundred eighty thousand, thirty-two".