480470688 has 36 divisors (see below), whose sum is σ = 1366339338. Its totient is φ = 160156800.

The previous prime is 480470681. The next prime is 480470701. The reversal of 480470688 is 886074084.

It can be written as a sum of positive squares in only one way, i.e., 435473424 + 44997264 = 20868^2 + 6708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (480470681) 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 5 ways as a sum of consecutive naturals, for example, 833863 + ... + 834438.

Almost surely, 2^480470688 is an apocalyptic number.

480470688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480470688 is an abundant number, since it is smaller than the sum of its proper divisors (885868650).

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

480470688 is a wasteful number, since it uses less digits than its factorization.

480470688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668317 (or 1668306 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 480470688 is about 21919.6416029095. The cubic root of 480470688 is about 783.2293725723.

The spelling of 480470688 in words is "four hundred eighty million, four hundred seventy thousand, six hundred eighty-eight".