480317952 has 160 divisors (see below), whose sum is σ = 1361162880. Its totient is φ = 150241280.

The previous prime is 480317951. The next prime is 480317969. The reversal of 480317952 is 259713084.

It is a self number, because there is not a number n which added to its sum of digits gives 480317952.

It is not an unprimeable number, because it can be changed into a prime (480317951) 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, 1826173 + ... + 1826435.

It is an arithmetic number, because the mean of its divisors is an integer number (8507268).

Almost surely, 2^480317952 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 480317952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680581440).

480317952 is an abundant number, since it is smaller than the sum of its proper divisors (880844928).

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

480317952 is a wasteful number, since it uses less digits than its factorization.

480317952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 480317952 is about 21916.1573274149. The cubic root of 480317952 is about 783.1463706308.

The spelling of 480317952 in words is "four hundred eighty million, three hundred seventeen thousand, nine hundred fifty-two".