480047730048 has 48 divisors (see below), whose sum is σ = 1381387351500. Its totient is φ = 160015909632.

The previous prime is 480047730047. The next prime is 480047730101. The reversal of 480047730048 is 840037740084.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 480047729985 and 480047730012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480047730047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 208352898 + ... + 208355201.

Almost surely, 2^480047730048 is an apocalyptic number.

480047730048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480047730048 is an abundant number, since it is smaller than the sum of its proper divisors (901339621452).

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

480047730048 is a wasteful number, since it uses less digits than its factorization.

480047730048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416708119 (or 416708104 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 480047730048 in words is "four hundred eighty billion, forty-seven million, seven hundred thirty thousand, forty-eight".