480509088641 has 4 divisors (see below), whose sum is σ = 481934931972. Its totient is φ = 479083245312.

The previous prime is 480509088623. The next prime is 480509088671. The reversal of 480509088641 is 146880905084.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 241685308225 + 238823780416 = 491615^2 + 488696^2 .

It is a cyclic number.

It is not a de Polignac number, because 480509088641 - 2³⁸ = 205631181697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480509088601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 712921160 + ... + 712921833.

It is an arithmetic number, because the mean of its divisors is an integer number (120483732993).

Almost surely, 2^480509088641 is an apocalyptic number.

It is an amenable number.

480509088641 is a deficient number, since it is larger than the sum of its proper divisors (1425843331).

480509088641 is a wasteful number, since it uses less digits than its factorization.

480509088641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425843330.

The product of its (nonzero) digits is 2211840, while the sum is 53.

The spelling of 480509088641 in words is "four hundred eighty billion, five hundred nine million, eighty-eight thousand, six hundred forty-one".