480391168 has 52 divisors (see below), whose sum is σ = 1017322200. Its totient is φ = 226033664.

The previous prime is 480391147. The next prime is 480391169. The reversal of 480391168 is 861193084.

It is a self number, because there is not a number n which added to its sum of digits gives 480391168.

It is not an unprimeable number, because it can be changed into a prime (480391169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66183 + ... + 73081.

Almost surely, 2^480391168 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 480391168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508661100).

480391168 is an abundant number, since it is smaller than the sum of its proper divisors (536931032).

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

480391168 is an equidigital number, since it uses as much as digits as its factorization.

480391168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6940 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 480391168 is about 21917.8276295804. The cubic root of 480391168 is about 783.1861608928.

The spelling of 480391168 in words is "four hundred eighty million, three hundred ninety-one thousand, one hundred sixty-eight".