480908664 has 48 divisors (see below), whose sum is σ = 1350705720. Its totient is φ = 160302240.

The previous prime is 480908663. The next prime is 480908669. The reversal of 480908664 is 466809084.

It is a happy number.

480908664 is a `hidden beast` number, since 480 + 90 + 86 + 6 + 4 = 666.

It is a super-3 number, since 3×480908664³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480908663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121747 + ... + 125634.

Almost surely, 2^480908664 is an apocalyptic number.

It is an amenable number.

480908664 is an abundant number, since it is smaller than the sum of its proper divisors (869797056).

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

480908664 is a wasteful number, since it uses less digits than its factorization.

480908664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247402 (or 247386 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 480908664 is about 21929.6298190371. The cubic root of 480908664 is about 783.4672861411.

The spelling of 480908664 in words is "four hundred eighty million, nine hundred eight thousand, six hundred sixty-four".