471599120 has 40 divisors (see below), whose sum is σ = 1102559640. Its totient is φ = 187591680.

The previous prime is 471599099. The next prime is 471599129. The reversal of 471599120 is 21995174.

It can be written as a sum of positive squares in 4 ways, for example, as 41783296 + 429815824 = 6464^2 + 20732^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (471599129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1805 + ... + 30764.

It is an arithmetic number, because the mean of its divisors is an integer number (27563991).

Almost surely, 2^471599120 is an apocalyptic number.

471599120 is a gapful number since it is divisible by the number (40) 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 471599120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551279820).

471599120 is an abundant number, since it is smaller than the sum of its proper divisors (630960520).

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

471599120 is a wasteful number, since it uses less digits than its factorization.

471599120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32763 (or 32757 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 38.

The square root of 471599120 is about 21716.3330237865. Note that the first 3 decimals coincide. The cubic root of 471599120 is about 778.3787935650.

The spelling of 471599120 in words is "four hundred seventy-one million, five hundred ninety-nine thousand, one hundred twenty".