480383354880 has 576 divisors, whose sum is σ = 1956046397760. Its totient is φ = 107495424000.

The previous prime is 480383354833. The next prime is 480383354881. The reversal of 480383354880 is 88453383084.

480383354880 is a `hidden beast` number, since 4 + 80 + 3 + 83 + 3 + 5 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (480383354881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13160655 + ... + 13197105.

It is an arithmetic number, because the mean of its divisors is an integer number (3395913885).

Almost surely, 2^480383354880 is an apocalyptic number.

480383354880 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 480383354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978023198880).

480383354880 is an abundant number, since it is smaller than the sum of its proper divisors (1475663042880).

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

480383354880 is a wasteful number, since it uses less digits than its factorization.

480383354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36508 (or 36485 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 480383354880 in words is "four hundred eighty billion, three hundred eighty-three million, three hundred fifty-four thousand, eight hundred eighty".