480509664 has 24 divisors (see below), whose sum is σ = 1261338120. Its totient is φ = 160169856.

The previous prime is 480509663. The next prime is 480509669. The reversal of 480509664 is 466905084.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480509663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2502559 + ... + 2502750.

It is an arithmetic number, because the mean of its divisors is an integer number (52555755).

Almost surely, 2^480509664 is an apocalyptic number.

It is an amenable number.

480509664 is an abundant number, since it is smaller than the sum of its proper divisors (780828456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480509664 is a wasteful number, since it uses less digits than its factorization.

480509664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005322 (or 5005314 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 480509664 is about 21920.5306505112. The cubic root of 480509664 is about 783.2505506402.

The spelling of 480509664 in words is "four hundred eighty million, five hundred nine thousand, six hundred sixty-four".