480313120 has 48 divisors (see below), whose sum is σ = 1296848448. Its totient is φ = 164678400.

The previous prime is 480313061. The next prime is 480313147. The reversal of 480313120 is 21313084.

It is a junction number, because it is equal to n+sod(n) for n = 480313091 and 480313100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213306 + ... + 215545.

It is an arithmetic number, because the mean of its divisors is an integer number (27017676).

Almost surely, 2^480313120 is an apocalyptic number.

480313120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480313120 is an abundant number, since it is smaller than the sum of its proper divisors (816535328).

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

480313120 is a wasteful number, since it uses less digits than its factorization.

480313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428873 (or 428865 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 480313120 is about 21916.0470888342. The cubic root of 480313120 is about 783.1437444704.

It can be divided in two parts, 480 and 313120, that added together give a square (313600 = 560²).

The spelling of 480313120 in words is "four hundred eighty million, three hundred thirteen thousand, one hundred twenty".