480075384320 has 160 divisors (see below), whose sum is σ = 1357929086976. Its totient is φ = 159287500800.

The previous prime is 480075384311. The next prime is 480075384343. The reversal of 480075384320 is 23483570084.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123425 + ... + 987615.

Almost surely, 2^480075384320 is an apocalyptic number.

480075384320 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 480075384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678964543488).

480075384320 is an abundant number, since it is smaller than the sum of its proper divisors (877853702656).

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

480075384320 is an equidigital number, since it uses as much as digits as its factorization.

480075384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864252 (or 864236 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 44.

The spelling of 480075384320 in words is "four hundred eighty billion, seventy-five million, three hundred eighty-four thousand, three hundred twenty".