480345913413 has 48 divisors (see below), whose sum is σ = 728272321920. Its totient is φ = 304502470272.

The previous prime is 480345913409. The next prime is 480345913447. The reversal of 480345913413 is 314319543084.

480345913413 is a `hidden beast` number, since 48 + 0 + 3 + 4 + 591 + 3 + 4 + 13 = 666.

It is not a de Polignac number, because 480345913413 - 2² = 480345913409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480345913483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58269070 + ... + 58277312.

It is an arithmetic number, because the mean of its divisors is an integer number (15172340040).

Almost surely, 2^480345913413 is an apocalyptic number.

It is an amenable number.

480345913413 is a deficient number, since it is larger than the sum of its proper divisors (247926408507).

480345913413 is a wasteful number, since it uses less digits than its factorization.

480345913413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9898 (or 9895 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 480345913413 in words is "four hundred eighty billion, three hundred forty-five million, nine hundred thirteen thousand, four hundred thirteen".