480789288 has 192 divisors, whose sum is σ = 1556755200. Its totient is φ = 131189760.

The previous prime is 480789269. The next prime is 480789313. The reversal of 480789288 is 882987084.

480789288 is a `hidden beast` number, since 480 + 7 + 89 + 2 + 88 = 666.

It is a super-3 number, since 3×480789288³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1094973 + ... + 1095411.

It is an arithmetic number, because the mean of its divisors is an integer number (8108100).

Almost surely, 2^480789288 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 480789288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778377600).

480789288 is an abundant number, since it is smaller than the sum of its proper divisors (1075965912).

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

480789288 is a wasteful number, since it uses less digits than its factorization.

480789288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 480789288 is about 21926.9078531379. The cubic root of 480789288 is about 783.4024540586.

The spelling of 480789288 in words is "four hundred eighty million, seven hundred eighty-nine thousand, two hundred eighty-eight".