459801979569 has 45 divisors (see below), whose sum is σ = 699251351227. Its totient is φ = 301103176176.

The previous prime is 459801979543. The next prime is 459801979639. The reversal of 459801979569 is 965979108954.

The square root of 459801979569 is 678087.

It is a perfect power (a square), and thus also a powerful number.

459801979569 is a `hidden beast` number, since 4 + 59 + 8 + 0 + 1 + 9 + 7 + 9 + 569 = 666.

It can be written as a sum of positive squares in only one way, i.e., 302043672225 + 157758307344 = 549585^2 + 397188^2 .

It is a de Polignac number, because none of the positive numbers 2^k-459801979569 is a prime.

It is a super-2 number, since 2×459801979569² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 459801979497 and 459801979506.

It is not an unprimeable number, because it can be changed into a prime (459801971569) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 360063559 + ... + 360064835.

Almost surely, 2^459801979569 is an apocalyptic number.

459801979569 is the 678087-th square number.

459801979569 is the 339044-th centered octagonal number.

It is an amenable number.

459801979569 is a deficient number, since it is larger than the sum of its proper divisors (239449371658).

459801979569 is an frugal number, since it uses more digits than its factorization.

459801979569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 72.

The spelling of 459801979569 in words is "four hundred fifty-nine billion, eight hundred one million, nine hundred seventy-nine thousand, five hundred sixty-nine".