480759413697 has 16 divisors (see below), whose sum is σ = 712318730880. Its totient is φ = 320469122736.

The previous prime is 480759413621. The next prime is 480759413773. The reversal of 480759413697 is 796314957084.

480759413697 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 594 + 1 + 36 + 9 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (480759413621) and next prime (480759413773).

It is not a de Polignac number, because 480759413697 - 2¹⁰ = 480759412673 is a prime.

It is a super-3 number, since 3×480759413697³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (480759418697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793798 + ... + 1261599.

It is an arithmetic number, because the mean of its divisors is an integer number (44519920680).

Almost surely, 2^480759413697 is an apocalyptic number.

It is an amenable number.

480759413697 is a deficient number, since it is larger than the sum of its proper divisors (231559317183).

480759413697 is a wasteful number, since it uses less digits than its factorization.

480759413697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064069 (or 2064063 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 480759413697 in words is "four hundred eighty billion, seven hundred fifty-nine million, four hundred thirteen thousand, six hundred ninety-seven".