480084309 has 12 divisors (see below), whose sum is σ = 695825676. Its totient is φ = 318962112.

The previous prime is 480084263. The next prime is 480084317. The reversal of 480084309 is 903480084.

It can be written as a sum of positive squares in 2 ways, for example, as 329531409 + 150552900 = 18153^2 + 12270^2 .

It is not a de Polignac number, because 480084309 - 2²¹ = 477987157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480084349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88392 + ... + 93665.

It is an arithmetic number, because the mean of its divisors is an integer number (57985473).

Almost surely, 2^480084309 is an apocalyptic number.

It is an amenable number.

480084309 is a deficient number, since it is larger than the sum of its proper divisors (215741367).

480084309 is a wasteful number, since it uses less digits than its factorization.

480084309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182356 (or 182353 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 480084309 is about 21910.8262966051. The cubic root of 480084309 is about 783.0193670190.

The spelling of 480084309 in words is "four hundred eighty million, eighty-four thousand, three hundred nine".