480960160 has 96 divisors (see below), whose sum is σ = 1185528960. Its totient is φ = 184224768.

The previous prime is 480960131. The next prime is 480960163. The reversal of 480960160 is 61069084.

It is a super-3 number, since 3×480960160³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480960163) 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, 363981 + ... + 365299.

It is an arithmetic number, because the mean of its divisors is an integer number (12349260).

Almost surely, 2^480960160 is an apocalyptic number.

480960160 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 480960160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592764480).

480960160 is an abundant number, since it is smaller than the sum of its proper divisors (704568800).

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

480960160 is a wasteful number, since it uses less digits than its factorization.

480960160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 480960160 is about 21930.8039068339. The cubic root of 480960160 is about 783.4952498651.

The spelling of 480960160 in words is "four hundred eighty million, nine hundred sixty thousand, one hundred sixty".