480609309 has 8 divisors (see below), whose sum is σ = 642860992. Its totient is φ = 319381920.

The previous prime is 480609299. The next prime is 480609347. The reversal of 480609309 is 903906084.

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

It is not a de Polignac number, because 480609309 - 2¹⁶ = 480543773 is a prime.

It is a super-3 number, since 3×480609309³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480609379) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 254977 + ... + 256854.

It is an arithmetic number, because the mean of its divisors is an integer number (80357624).

Almost surely, 2^480609309 is an apocalyptic number.

It is an amenable number.

480609309 is a deficient number, since it is larger than the sum of its proper divisors (162251683).

480609309 is a wasteful number, since it uses less digits than its factorization.

480609309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512147.

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 480609309 is about 21922.8034019374. The cubic root of 480609309 is about 783.3046887166.

The spelling of 480609309 in words is "four hundred eighty million, six hundred nine thousand, three hundred nine".