450306760401 has 15 divisors (see below), whose sum is σ = 672689491243. Its totient is φ = 300200480640.

The previous prime is 450306760391. The next prime is 450306760403. The reversal of 450306760401 is 104067603054.

It is a happy number.

The square root of 450306760401 is 671049.

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

450306760401 is a `hidden beast` number, since 45 + 0 + 3 + 0 + 6 + 7 + 604 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 258672942801 + 191633817600 = 508599^2 + 437760^2 .

It is not a de Polignac number, because 450306760401 - 2¹⁷ = 450306629329 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (450306760403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6002161 + ... + 6076721.

Almost surely, 2^450306760401 is an apocalyptic number.

450306760401 is the 671049-th square number.

450306760401 is the 335525-th centered octagonal number.

It is an amenable number.

450306760401 is a deficient number, since it is larger than the sum of its proper divisors (222382730842).

450306760401 is an frugal number, since it uses more digits than its factorization.

450306760401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149134 (or 74564 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 450306760401 by its sum of digits (36), we get a square (16211043374436 = 4026294²).

The spelling of 450306760401 in words is "four hundred fifty billion, three hundred six million, seven hundred sixty thousand, four hundred one".