480040288 has 96 divisors (see below), whose sum is σ = 1231723584. Its totient is φ = 178716672.

The previous prime is 480040247. The next prime is 480040289. The reversal of 480040288 is 882040084.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480040289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44656 + ... + 54352.

It is an arithmetic number, because the mean of its divisors is an integer number (12830454).

Almost surely, 2^480040288 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 480040288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615861792).

480040288 is an abundant number, since it is smaller than the sum of its proper divisors (751683296).

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

480040288 is a wasteful number, since it uses less digits than its factorization.

480040288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9744 (or 9736 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 480040288 is about 21909.8217245143. The cubic root of 480040288 is about 782.9954334803.

The spelling of 480040288 in words is "four hundred eighty million, forty thousand, two hundred eighty-eight".