480808081 has 16 divisors (see below), whose sum is σ = 550141200. Its totient is φ = 416924928.

The previous prime is 480808057. The next prime is 480808199. The reversal of 480808081 is 180808084.

It can be written as a sum of positive squares in 8 ways, for example, as 4477456 + 476330625 = 2116^2 + 21825^2 .

It is a cyclic number.

It is not a de Polignac number, because 480808081 - 2⁵ = 480808049 is a prime.

It is a super-3 number, since 3×480808081³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 480808081.

It is not an unprimeable number, because it can be changed into a prime (480808981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3286 + ... + 31183.

It is an arithmetic number, because the mean of its divisors is an integer number (34383825).

Almost surely, 2^480808081 is an apocalyptic number.

It is an amenable number.

480808081 is a deficient number, since it is larger than the sum of its proper divisors (69333119).

480808081 is a wasteful number, since it uses less digits than its factorization.

480808081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34548.

The product of its (nonzero) digits is 16384, while the sum is 37.

The square root of 480808081 is about 21927.3363863466. The cubic root of 480808081 is about 783.4126610875.

The spelling of 480808081 in words is "four hundred eighty million, eight hundred eight thousand, eighty-one".