449591706256 has 225 divisors, whose sum is σ = 1120587832259. Its totient is φ = 174602366400.

The previous prime is 449591706253. The next prime is 449591706271. The reversal of 449591706256 is 652607195944.

The square root of 449591706256 is 670516.

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

It is a self number, because there is not a number n which added to its sum of digits gives 449591706256.

It is not an unprimeable number, because it can be changed into a prime (449591706253) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1445632341 + ... + 1445632651.

Almost surely, 2^449591706256 is an apocalyptic number.

449591706256 is the 670516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449591706256

449591706256 is an abundant number, since it is smaller than the sum of its proper divisors (670996126003).

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

449591706256 is an frugal number, since it uses more digits than its factorization.

449591706256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 58.

The spelling of 449591706256 in words is "four hundred forty-nine billion, five hundred ninety-one million, seven hundred six thousand, two hundred fifty-six".