480358980 has 144 divisors (see below), whose sum is σ = 1493331840. Its totient is φ = 124955136.

The previous prime is 480358973. The next prime is 480358997. The reversal of 480358980 is 89853084.

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 47 ways as a sum of consecutive naturals, for example, 1826329 + ... + 1826591.

It is an arithmetic number, because the mean of its divisors is an integer number (10370360).

Almost surely, 2^480358980 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 480358980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746665920).

480358980 is an abundant number, since it is smaller than the sum of its proper divisors (1012972860).

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

480358980 is a wasteful number, since it uses less digits than its factorization.

480358980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 480358980 is about 21917.0933291803. The cubic root of 480358980 is about 783.1686683709.

The spelling of 480358980 in words is "four hundred eighty million, three hundred fifty-eight thousand, nine hundred eighty".