480446080 has 128 divisors (see below), whose sum is σ = 1212641280. Its totient is φ = 181665792.

The previous prime is 480446059. The next prime is 480446089. The reversal of 480446080 is 80644084.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (480446089) 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, 1869312 + ... + 1869568.

It is an arithmetic number, because the mean of its divisors is an integer number (9473760).

Almost surely, 2^480446080 is an apocalyptic number.

480446080 is a gapful number since it is divisible by the number (40) 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 480446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606320640).

480446080 is an abundant number, since it is smaller than the sum of its proper divisors (732195200).

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

480446080 is a wasteful number, since it uses less digits than its factorization.

480446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 480446080 is about 21919.0802726757. The cubic root of 480446080 is about 783.2160009363.

The spelling of 480446080 in words is "four hundred eighty million, four hundred forty-six thousand, eighty".