480480080 has 40 divisors (see below), whose sum is σ = 1118044512. Its totient is φ = 192032384.

The previous prime is 480480079. The next prime is 480480089. The reversal of 480480080 is 80084084.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×480480080² = 461722214553612800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480480089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160679 + ... + 163641.

Almost surely, 2^480480080 is an apocalyptic number.

480480080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480480080 is an abundant number, since it is smaller than the sum of its proper divisors (637564432).

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

480480080 is a wasteful number, since it uses less digits than its factorization.

480480080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 480480080 is about 21919.8558389420. The cubic root of 480480080 is about 783.2344759306.

The spelling of 480480080 in words is "four hundred eighty million, four hundred eighty thousand, eighty".