480020864080 has 20 divisors (see below), whose sum is σ = 1116048509172. Its totient is φ = 192008345600.

The previous prime is 480020864077. The next prime is 480020864083. The reversal of 480020864080 is 80468020084.

It is an interprime number because it is at equal distance from previous prime (480020864077) and next prime (480020864083).

It can be written as a sum of positive squares in 2 ways, for example, as 199383682576 + 280637181504 = 446524^2 + 529752^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480020864083) 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, 3000130321 + ... + 3000130480.

Almost surely, 2^480020864080 is an apocalyptic number.

480020864080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480020864080 is an abundant number, since it is smaller than the sum of its proper divisors (636027645092).

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

480020864080 is a wasteful number, since it uses less digits than its factorization.

480020864080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000260814 (or 6000260808 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 480020864080 in words is "four hundred eighty billion, twenty million, eight hundred sixty-four thousand, eighty".