480609424 has 20 divisors (see below), whose sum is σ = 931771836. Its totient is φ = 240152192.

The previous prime is 480609407. The next prime is 480609463. The reversal of 480609424 is 424906084.

It can be written as a sum of positive squares in 2 ways, for example, as 101606400 + 379003024 = 10080^2 + 19468^2 .

It is a super-3 number, since 3×480609424³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19062 + ... + 36394.

Almost surely, 2^480609424 is an apocalyptic number.

It is an amenable number.

480609424 is a deficient number, since it is larger than the sum of its proper divisors (451162412).

480609424 is a wasteful number, since it uses less digits than its factorization.

480609424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19074 (or 19068 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 480609424 is about 21922.8060247770. The cubic root of 480609424 is about 783.3047511929.

The spelling of 480609424 in words is "four hundred eighty million, six hundred nine thousand, four hundred twenty-four".