449693630464 has 225 divisors, whose sum is σ = 1006746840771. Its totient is φ = 200855715840.

The previous prime is 449693630459. The next prime is 449693630467. The reversal of 449693630464 is 464036396944.

The square root of 449693630464 is 670592.

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

It can be written as a sum of positive squares in 2 ways, for example, as 222965284864 + 226728345600 = 472192^2 + 476160^2 .

It is a super-2 number, since 2×449693630464² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 449693630399 and 449693630408.

It is not an unprimeable number, because it can be changed into a prime (449693630467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14506246129 + ... + 14506246159.

Almost surely, 2^449693630464 is an apocalyptic number.

449693630464 is the 670592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449693630464

449693630464 is an abundant number, since it is smaller than the sum of its proper divisors (557053210307).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

449693630464 is an frugal number, since it uses more digits than its factorization.

449693630464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 58.

The spelling of 449693630464 in words is "four hundred forty-nine billion, six hundred ninety-three million, six hundred thirty thousand, four hundred sixty-four".