480107004507 has 12 divisors (see below), whose sum is σ = 746833118304. Its totient is φ = 295450464240.

The previous prime is 480107004497. The next prime is 480107004539. The reversal of 480107004507 is 705400701084.

480107004507 is a `hidden beast` number, since 4 + 80 + 1 + 0 + 70 + 0 + 4 + 507 = 666.

It is not a de Polignac number, because 480107004507 - 2¹² = 480107000411 is a prime.

It is not an unprimeable number, because it can be changed into a prime (480107004907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2051739219 + ... + 2051739452.

It is an arithmetic number, because the mean of its divisors is an integer number (62236093192).

Almost surely, 2^480107004507 is an apocalyptic number.

480107004507 is a deficient number, since it is larger than the sum of its proper divisors (266726113797).

480107004507 is a wasteful number, since it uses less digits than its factorization.

480107004507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103478690 (or 4103478687 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 480107004507 in words is "four hundred eighty billion, one hundred seven million, four thousand, five hundred seven".