480413365120 has 256 divisors, whose sum is σ = 1292569850880. Its totient is φ = 169565921280.

The previous prime is 480413365093. The next prime is 480413365141. The reversal of 480413365120 is 21563314084.

It is a super-2 number, since 2×480413365120² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480413365120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16800435 + ... + 16829005.

It is an arithmetic number, because the mean of its divisors is an integer number (5049100980).

Almost surely, 2^480413365120 is an apocalyptic number.

480413365120 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 480413365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646284925440).

480413365120 is an abundant number, since it is smaller than the sum of its proper divisors (812156485760).

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

480413365120 is a wasteful number, since it uses less digits than its factorization.

480413365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28693 (or 28681 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 480413365120 in words is "four hundred eighty billion, four hundred thirteen million, three hundred sixty-five thousand, one hundred twenty".