449758009600 has 243 divisors, whose sum is σ = 1138062095779. Its totient is φ = 175975936000.

The previous prime is 449758009577. The next prime is 449758009627. The reversal of 449758009600 is 6900857944.

It is a happy number.

The square root of 449758009600 is 670640.

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

It can be written as a sum of positive squares in 4 ways, for example, as 83045406976 + 366712602624 = 288176^2 + 605568^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4453049550 + ... + 4453049650.

Almost surely, 2^449758009600 is an apocalyptic number.

449758009600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

449758009600 is the 670640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449758009600

449758009600 is an abundant number, since it is smaller than the sum of its proper divisors (688304086179).

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

449758009600 is an frugal number, since it uses more digits than its factorization.

449758009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 449758009600 in words is "four hundred forty-nine billion, seven hundred fifty-eight million, nine thousand, six hundred".