480809306 has 8 divisors (see below), whose sum is σ = 721389684. Its totient is φ = 240346080.

The previous prime is 480809297. The next prime is 480809311. The reversal of 480809306 is 603908084.

It can be written as a sum of positive squares in 2 ways, for example, as 395413225 + 85396081 = 19885^2 + 9241^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×480809306³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480809306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18185 + ... + 35948.

Almost surely, 2^480809306 is an apocalyptic number.

480809306 is a deficient number, since it is larger than the sum of its proper divisors (240580378).

480809306 is a wasteful number, since it uses less digits than its factorization.

480809306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58576.

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 480809306 is about 21927.3643194981. The cubic root of 480809306 is about 783.4133264117.

The spelling of 480809306 in words is "four hundred eighty million, eight hundred nine thousand, three hundred six".