480548880 has 360 divisors, whose sum is σ = 1920191832. Its totient is φ = 107347968.

The previous prime is 480548851. The next prime is 480548891. The reversal of 480548880 is 88845084.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 231161616 + 249387264 = 15204^2 + 15792^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1869712 + ... + 1869968.

Almost surely, 2^480548880 is an apocalyptic number.

480548880 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 480548880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960095916).

480548880 is an abundant number, since it is smaller than the sum of its proper divisors (1439642952).

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

480548880 is a wasteful number, since it uses less digits than its factorization.

480548880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 480548880 is about 21921.4251361539. The cubic root of 480548880 is about 783.2718579592.

The spelling of 480548880 in words is "four hundred eighty million, five hundred forty-eight thousand, eight hundred eighty".