480505421132838 has 120 divisors (see below), whose sum is σ = 1095091825689576. Its totient is φ = 157476013453440.

The previous prime is 480505421132831. The next prime is 480505421132839. The reversal of 480505421132838 is 838231124505084.

It is a happy number.

480505421132838 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 0 + 5 + 421 + 132 + 83 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480505421132831) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1432692681 + ... + 1433028027.

Almost surely, 2^{480505421132838} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480505421132838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547545912844788).

480505421132838 is an abundant number, since it is smaller than the sum of its proper divisors (614586404556738).

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

480505421132838 is a wasteful number, since it uses less digits than its factorization.

480505421132838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337860 (or 337790 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 480505421132838 in words is "four hundred eighty trillion, five hundred five billion, four hundred twenty-one million, one hundred thirty-two thousand, eight hundred thirty-eight".