480387120 has 80 divisors (see below), whose sum is σ = 1492211040. Its totient is φ = 127844352.

The previous prime is 480387109. The next prime is 480387157. The reversal of 480387120 is 21783084.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136746 + ... + 140214.

It is an arithmetic number, because the mean of its divisors is an integer number (18652638).

Almost surely, 2^480387120 is an apocalyptic number.

480387120 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 480387120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746105520).

480387120 is an abundant number, since it is smaller than the sum of its proper divisors (1011823920).

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

480387120 is a wasteful number, since it uses less digits than its factorization.

480387120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4056 counting only the distinct ones).

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

The square root of 480387120 is about 21917.7352844677. The cubic root of 480387120 is about 783.1839610561.

The spelling of 480387120 in words is "four hundred eighty million, three hundred eighty-seven thousand, one hundred twenty".