480883584 has 64 divisors (see below), whose sum is σ = 1289178000. Its totient is φ = 158810112.

The previous prime is 480883583. The next prime is 480883633. The reversal of 480883584 is 485388084.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×480883584³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480883583) 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 7 ways as a sum of consecutive naturals, for example, 36112 + ... + 47600.

Almost surely, 2^480883584 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 480883584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644589000).

480883584 is an abundant number, since it is smaller than the sum of its proper divisors (808294416).

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

480883584 is a wasteful number, since it uses less digits than its factorization.

480883584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11615 (or 11603 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The square root of 480883584 is about 21929.0579825035. The cubic root of 480883584 is about 783.4536662984.

The spelling of 480883584 in words is "four hundred eighty million, eight hundred eighty-three thousand, five hundred eighty-four".