480456635424 has 48 divisors (see below), whose sum is σ = 1270826172000. Its totient is φ = 158929671680.

The previous prime is 480456635401. The next prime is 480456635429. The reversal of 480456635424 is 424536654084.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (480456635429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19089549 + ... + 19114700.

It is an arithmetic number, because the mean of its divisors is an integer number (26475545250).

Almost surely, 2^480456635424 is an apocalyptic number.

It is an amenable number.

480456635424 is an abundant number, since it is smaller than the sum of its proper divisors (790369536576).

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

480456635424 is a wasteful number, since it uses less digits than its factorization.

480456635424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38204393 (or 38204385 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 51.

The spelling of 480456635424 in words is "four hundred eighty billion, four hundred fifty-six million, six hundred thirty-five thousand, four hundred twenty-four".