450427557321 has 189 divisors, whose sum is σ = 812821895991. Its totient is φ = 248761697184.

The previous prime is 450427557319. The next prime is 450427557329. The reversal of 450427557321 is 123755724054.

The square root of 450427557321 is 671139.

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

450427557321 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 2 + 75 + 573 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 324711927225 + 125715630096 = 569835^2 + 354564^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 450427557321 - 2¹ = 450427557319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (450427557329) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 6722799330 + ... + 6722799396.

Almost surely, 2^450427557321 is an apocalyptic number.

450427557321 is the 671139-th square number.

450427557321 is the 335570-th centered octagonal number.

It is an amenable number.

450427557321 is a deficient number, since it is larger than the sum of its proper divisors (362394338670).

450427557321 is an frugal number, since it uses more digits than its factorization.

450427557321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 450427557321 in words is "four hundred fifty billion, four hundred twenty-seven million, five hundred fifty-seven thousand, three hundred twenty-one".