480160 has 24 divisors (see below), whose sum is σ = 1134756. Its totient is φ = 192000.

The previous prime is 480157. The next prime is 480167. The reversal of 480160 is 61084.

It can be written as a sum of positive squares in 2 ways, for example, as 478864 + 1296 = 692^2 + 36^2 .

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (480167) 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, 1341 + ... + 1660.

2⁴⁸⁰¹⁶⁰ is an apocalyptic number.

480160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480160 is an abundant number, since it is smaller than the sum of its proper divisors (654596).

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

480160 is a wasteful number, since it uses less digits than its factorization.

480160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 480160 is about 692.9357834605. The cubic root of 480160 is about 78.3060515628.

The spelling of 480160 in words is "four hundred eighty thousand, one hundred sixty".