450980745601 has 9 divisors (see below), whose sum is σ = 479081639491. Its totient is φ = 424441721632.

The previous prime is 450980745583. The next prime is 450980745619. The reversal of 450980745601 is 106547089054.

It is a happy number.

The square root of 450980745601 is 671551.

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

It is an interprime number because it is at equal distance from previous prime (450980745583) and next prime (450980745619).

It can be written as a sum of positive squares in only one way, i.e., 351109577025 + 99871168576 = 592545^2 + 316024^2 .

It is a de Polignac number, because none of the positive numbers 2^k-450980745601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (450980745671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11396616 + ... + 11436118.

Almost surely, 2^450980745601 is an apocalyptic number.

450980745601 is the 671551-st square number.

450980745601 is the 335776-th centered octagonal number.

It is an amenable number.

450980745601 is a deficient number, since it is larger than the sum of its proper divisors (28100893890).

450980745601 is an frugal number, since it uses more digits than its factorization.

450980745601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79040 (or 39520 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 450980745601 by its sum of digits (49), we get a square (22098056534449 = 4700857²).

The spelling of 450980745601 in words is "four hundred fifty billion, nine hundred eighty million, seven hundred forty-five thousand, six hundred one".