480240080 has 20 divisors (see below), whose sum is σ = 1116558372. Its totient is φ = 192096000.

The previous prime is 480240071. The next prime is 480240097. The reversal of 480240080 is 80042084.

It can be written as a sum of positive squares in 2 ways, for example, as 260370496 + 219869584 = 16136^2 + 14828^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3001421 + ... + 3001580.

Almost surely, 2^480240080 is an apocalyptic number.

480240080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480240080 is an abundant number, since it is smaller than the sum of its proper divisors (636318292).

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

480240080 is a wasteful number, since it uses less digits than its factorization.

480240080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6003014 (or 6003008 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 480240080 is about 21914.3806665851. The cubic root of 480240080 is about 783.1040455626.

The spelling of 480240080 in words is "four hundred eighty million, two hundred forty thousand, eighty".