480085360 has 80 divisors (see below), whose sum is σ = 1166220000. Its totient is φ = 183610368.

The previous prime is 480085337. The next prime is 480085373. The reversal of 480085360 is 63580084.

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

It is a congruent number.

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, 173266 + ... + 176014.

It is an arithmetic number, because the mean of its divisors is an integer number (14577750).

Almost surely, 2^480085360 is an apocalyptic number.

480085360 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 480085360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583110000).

480085360 is an abundant number, since it is smaller than the sum of its proper divisors (686134640).

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

480085360 is a wasteful number, since it uses less digits than its factorization.

480085360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 480085360 is about 21910.8502801694. The cubic root of 480085360 is about 783.0199384136.

The spelling of 480085360 in words is "four hundred eighty million, eighty-five thousand, three hundred sixty".