480808080 has 120 divisors (see below), whose sum is σ = 1638978432. Its totient is φ = 126289152.

The previous prime is 480808057. The next prime is 480808199. The reversal of 480808080 is 80808084.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×480808080³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

480808080 is a modest number, since divided by 808080 gives 480 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43257 + ... + 53223.

Almost surely, 2^480808080 is an apocalyptic number.

480808080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480808080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819489216).

480808080 is an abundant number, since it is smaller than the sum of its proper divisors (1158170352).

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

480808080 is a wasteful number, since it uses less digits than its factorization.

480808080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10053 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 480808080 is about 21927.3363635440. The cubic root of 480808080 is about 783.4126605444.

The spelling of 480808080 in words is "four hundred eighty million, eight hundred eight thousand, eighty".