480018732 has 48 divisors (see below), whose sum is σ = 1193859072. Its totient is φ = 149587200.

The previous prime is 480018719. The next prime is 480018733. The reversal of 480018732 is 237810084.

It is a junction number, because it is equal to n+sod(n) for n = 480018693 and 480018702.

It is not an unprimeable number, because it can be changed into a prime (480018733) 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, 23013 + ... + 38595.

It is an arithmetic number, because the mean of its divisors is an integer number (24872064).

Almost surely, 2^480018732 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 480018732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596929536).

480018732 is an abundant number, since it is smaller than the sum of its proper divisors (713840340).

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

480018732 is a wasteful number, since it uses less digits than its factorization.

480018732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15758 (or 15756 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 480018732 is about 21909.3297934921. The cubic root of 480018732 is about 782.9837132819.

It can be divided in two parts, 4800 and 18732, that added together give a palindrome (23532).

The spelling of 480018732 in words is "four hundred eighty million, eighteen thousand, seven hundred thirty-two".