480936609 has 32 divisors (see below), whose sum is σ = 746265600. Its totient is φ = 309527568.

The previous prime is 480936587. The next prime is 480936641. The reversal of 480936609 is 906639084.

480936609 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 36 + 609 = 666.

It is not a de Polignac number, because 480936609 - 2⁹ = 480936097 is a prime.

It is a super-3 number, since 3×480936609³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480936689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59632 + ... + 67214.

It is an arithmetic number, because the mean of its divisors is an integer number (23320800).

Almost surely, 2^480936609 is an apocalyptic number.

It is an amenable number.

480936609 is a deficient number, since it is larger than the sum of its proper divisors (265328991).

480936609 is an frugal number, since it uses more digits than its factorization.

480936609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7633 (or 7615 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 480936609 is about 21930.2669614394. The cubic root of 480936609 is about 783.4824612814.

The spelling of 480936609 in words is "four hundred eighty million, nine hundred thirty-six thousand, six hundred nine".