480623688 has 48 divisors (see below), whose sum is σ = 1302713100. Its totient is φ = 160081920.

The previous prime is 480623669. The next prime is 480623719. The reversal of 480623688 is 886326084.

It is a happy number.

480623688 is a `hidden beast` number, since 480 + 62 + 36 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 435223044 + 45400644 = 20862^2 + 6738^2 .

It is a super-3 number, since 3×480623688³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154048 + ... + 157136.

Almost surely, 2^480623688 is an apocalyptic number.

It is an amenable number.

480623688 is an abundant number, since it is smaller than the sum of its proper divisors (822089412).

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

480623688 is a wasteful number, since it uses less digits than its factorization.

480623688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 480623688 is about 21923.1313456814. The cubic root of 480623688 is about 783.3125003463.

The spelling of 480623688 in words is "four hundred eighty million, six hundred twenty-three thousand, six hundred eighty-eight".