480448184832 has 1120 divisors, whose sum is σ = 1826949674880. Its totient is φ = 122544783360.

The previous prime is 480448184831. The next prime is 480448184857. The reversal of 480448184832 is 238481844084.

480448184832 is a `hidden beast` number, since 4 + 8 + 0 + 4 + 481 + 84 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (480448184831) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2098026894 + ... + 2098027122.

Almost surely, 2^480448184832 is an apocalyptic number.

480448184832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480448184832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913474837440).

480448184832 is an abundant number, since it is smaller than the sum of its proper divisors (1346501490048).

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

480448184832 is an equidigital number, since it uses as much as digits as its factorization.

480448184832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 480448184832 in words is "four hundred eighty billion, four hundred forty-eight million, one hundred eighty-four thousand, eight hundred thirty-two".