480320724653305 has 24 divisors (see below), whose sum is σ = 603183242942280. Its totient is φ = 367154129802240.

The previous prime is 480320724653303. The next prime is 480320724653317. The reversal of 480320724653305 is 503356427023084.

It can be written as a sum of positive squares in 4 ways, for example, as 30396046854121 + 449924677799184 = 5513261^2 + 21211428^2 .

It is not a de Polignac number, because 480320724653305 - 2¹ = 480320724653303 is a prime.

It is a super-2 number, since 2×480320724653305² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (480320724653303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95280006 + ... + 100194415.

It is an arithmetic number, because the mean of its divisors is an integer number (25132635122595).

Almost surely, 2^{480320724653305} is an apocalyptic number.

It is an amenable number.

480320724653305 is a deficient number, since it is larger than the sum of its proper divisors (122862518288975).

480320724653305 is a wasteful number, since it uses less digits than its factorization.

480320724653305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195475401 (or 195475378 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 52.

The spelling of 480320724653305 in words is "four hundred eighty trillion, three hundred twenty billion, seven hundred twenty-four million, six hundred fifty-three thousand, three hundred five".