480013357824 has 2592 divisors, whose sum is σ = 2108636349120. Its totient is φ = 106274488320.

The previous prime is 480013357823. The next prime is 480013357847. The reversal of 480013357824 is 428753310084.

480013357824 is a `hidden beast` number, since 48 + 0 + 0 + 1 + 33 + 578 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 480013357824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480013357823) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9056855782 + ... + 9056855834.

It is an arithmetic number, because the mean of its divisors is an integer number (813517110).

Almost surely, 2^480013357824 is an apocalyptic number.

480013357824 is a gapful number since it is divisible by the number (44) 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 480013357824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054318174560).

480013357824 is an abundant number, since it is smaller than the sum of its proper divisors (1628622991296).

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

480013357824 is a wasteful number, since it uses less digits than its factorization.

480013357824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 106 counting only the distinct ones).

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

The spelling of 480013357824 in words is "four hundred eighty billion, thirteen million, three hundred fifty-seven thousand, eight hundred twenty-four".