480448480 has 48 divisors (see below), whose sum is σ = 1151073504. Its totient is φ = 189468160.

The previous prime is 480448453. The next prime is 480448489. The reversal of 480448480 is 84844084.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480448489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9787 + ... + 32506.

It is an arithmetic number, because the mean of its divisors is an integer number (23980698).

Almost surely, 2^480448480 is an apocalyptic number.

480448480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480448480 is an abundant number, since it is smaller than the sum of its proper divisors (670625024).

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

480448480 is a wasteful number, since it uses less digits than its factorization.

480448480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42379 (or 42371 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 480448480 is about 21919.1350194299. The cubic root of 480448480 is about 783.2173050821.

The spelling of 480448480 in words is "four hundred eighty million, four hundred forty-eight thousand, four hundred eighty".