480375353328 has 120 divisors (see below), whose sum is σ = 1348887272832. Its totient is φ = 147245140224.

The previous prime is 480375353261. The next prime is 480375353333. The reversal of 480375353328 is 823353573084.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2020875 + ... + 2246037.

Almost surely, 2^480375353328 is an apocalyptic number.

480375353328 is a gapful number since it is divisible by the number (48) 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 480375353328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674443636416).

480375353328 is an abundant number, since it is smaller than the sum of its proper divisors (868511919504).

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

480375353328 is a wasteful number, since it uses less digits than its factorization.

480375353328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225463 (or 225444 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 480375353328 in words is "four hundred eighty billion, three hundred seventy-five million, three hundred fifty-three thousand, three hundred twenty-eight".