480920080 has 40 divisors (see below), whose sum is σ = 1148366232. Its totient is φ = 187167744.

The previous prime is 480920071. The next prime is 480920093. The reversal of 480920080 is 80029084.

It can be written as a sum of positive squares in 4 ways, for example, as 305410576 + 175509504 = 17476^2 + 13248^2 .

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

It is a super-3 number, since 3×480920080³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78277 + ... + 84196.

Almost surely, 2^480920080 is an apocalyptic number.

480920080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480920080 is an abundant number, since it is smaller than the sum of its proper divisors (667446152).

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

480920080 is a wasteful number, since it uses less digits than its factorization.

480920080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162523 (or 162517 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 480920080 is about 21929.8901046038. The cubic root of 480920080 is about 783.4734855108.

The spelling of 480920080 in words is "four hundred eighty million, nine hundred twenty thousand, eighty".