480689664 has 320 divisors, whose sum is σ = 1668226560. Its totient is φ = 119439360.

The previous prime is 480689659. The next prime is 480689687. The reversal of 480689664 is 466986084.

It is a super-3 number, since 3×480689664³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2655654 + ... + 2655834.

It is an arithmetic number, because the mean of its divisors is an integer number (5213208).

Almost surely, 2^480689664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834113280).

480689664 is an abundant number, since it is smaller than the sum of its proper divisors (1187536896).

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

480689664 is a wasteful number, since it uses less digits than its factorization.

480689664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 480689664 is about 21924.6360061005. The cubic root of 480689664 is about 783.3483409026.

The spelling of 480689664 in words is "four hundred eighty million, six hundred eighty-nine thousand, six hundred sixty-four".