482175203328 has 1152 divisors, whose sum is σ = 1822130856000. Its totient is φ = 127167086592.

The previous prime is 482175203311. The next prime is 482175203329. The reversal of 482175203328 is 823302571284.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

482175203328 is a `hidden beast` number, since 4 + 82 + 17 + 520 + 3 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482175203329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37090400250 + ... + 37090400262.

Almost surely, 2^482175203328 is an apocalyptic number.

482175203328 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 482175203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911065428000).

482175203328 is an abundant number, since it is smaller than the sum of its proper divisors (1339955652672).

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

482175203328 is an frugal number, since it uses more digits than its factorization.

482175203328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 482175203328 in words is "four hundred eighty-two billion, one hundred seventy-five million, two hundred three thousand, three hundred twenty-eight".