480465305 has 8 divisors (see below), whose sum is σ = 610473672. Its totient is φ = 361762048.

The previous prime is 480465289. The next prime is 480465317. The reversal of 480465305 is 503564084.

It can be written as a sum of positive squares in 4 ways, for example, as 75811849 + 404653456 = 8707^2 + 20116^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 480465305 - 2⁴ = 480465289 is a prime.

It is a Curzon number.

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, 2826182 + ... + 2826351.

It is an arithmetic number, because the mean of its divisors is an integer number (76309209).

Almost surely, 2^480465305 is an apocalyptic number.

It is an amenable number.

480465305 is a deficient number, since it is larger than the sum of its proper divisors (130008367).

480465305 is a wasteful number, since it uses less digits than its factorization.

480465305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5652555.

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 480465305 is about 21919.5188131492. The cubic root of 480465305 is about 783.2264475659.

The spelling of 480465305 in words is "four hundred eighty million, four hundred sixty-five thousand, three hundred five".