480529189393920 has 400 divisors, whose sum is σ = 1721988240944400. Its totient is φ = 128075262345216.

The previous prime is 480529189393859. The next prime is 480529189393921. The reversal of 480529189393920 is 29393981925084.

480529189393920 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 29 + 189 + 39 + 392 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480529189393921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 403550139 + ... + 404739141.

It is an arithmetic number, because the mean of its divisors is an integer number (4304970602361).

Almost surely, 2^{480529189393920} is an apocalyptic number.

480529189393920 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 480529189393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860994120472200).

480529189393920 is an abundant number, since it is smaller than the sum of its proper divisors (1241459051550480).

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

480529189393920 is a wasteful number, since it uses less digits than its factorization.

480529189393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190987 (or 1190962 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 480529189393920 in words is "four hundred eighty trillion, five hundred twenty-nine billion, one hundred eighty-nine million, three hundred ninety-three thousand, nine hundred twenty".