482575329720 has 640 divisors, whose sum is σ = 1832982497280. Its totient is φ = 112814208000.

The previous prime is 482575329701. The next prime is 482575329757. The reversal of 482575329720 is 27923575284.

482575329720 is a `hidden beast` number, since 4 + 82 + 5 + 7 + 532 + 9 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 412104735 + ... + 412105905.

It is an arithmetic number, because the mean of its divisors is an integer number (2864035152).

Almost surely, 2^482575329720 is an apocalyptic number.

482575329720 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 482575329720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916491248640).

482575329720 is an abundant number, since it is smaller than the sum of its proper divisors (1350407167560).

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

482575329720 is a wasteful number, since it uses less digits than its factorization.

482575329720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 482575329720 in words is "four hundred eighty-two billion, five hundred seventy-five million, three hundred twenty-nine thousand, seven hundred twenty".