480843576192 has 384 divisors, whose sum is σ = 1514620023840. Its totient is φ = 134738214912.

The previous prime is 480843576133. The next prime is 480843576253. The reversal of 480843576192 is 291675348084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×480843576192³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270592008 + ... + 270593784.

It is a 1-persistent number, because it is pandigital, but 2⋅480843576192 = 961687152384 is not.

Almost surely, 2^480843576192 is an apocalyptic number.

480843576192 is a gapful number since it is divisible by the number (42) 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 480843576192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757310011920).

480843576192 is an abundant number, since it is smaller than the sum of its proper divisors (1033776447648).

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

480843576192 is a wasteful number, since it uses less digits than its factorization.

480843576192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 480843576192 in words is "four hundred eighty billion, eight hundred forty-three million, five hundred seventy-six thousand, one hundred ninety-two".