480380536629 has 90 divisors (see below), whose sum is σ = 839565671670. Its totient is φ = 272928525408.

The previous prime is 480380536619. The next prime is 480380536721. The reversal of 480380536629 is 926635083084.

480380536629 is a `hidden beast` number, since 4 + 8 + 0 + 3 + 8 + 0 + 5 + 3 + 6 + 629 = 666.

It can be written as a sum of positive squares in only one way, i.e., 471989610225 + 8390926404 = 687015^2 + 91602^2 .

It is not a de Polignac number, because 480380536629 - 2⁸ = 480380536373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480380536619) 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 89 ways as a sum of consecutive naturals, for example, 660770664 + ... + 660771390.

It is an arithmetic number, because the mean of its divisors is an integer number (9328507463).

Almost surely, 2^480380536629 is an apocalyptic number.

480380536629 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

480380536629 is a deficient number, since it is larger than the sum of its proper divisors (359185135041).

480380536629 is an frugal number, since it uses more digits than its factorization.

480380536629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 480380536629 in words is "four hundred eighty billion, three hundred eighty million, five hundred thirty-six thousand, six hundred twenty-nine".