449817552 has 180 divisors, whose sum is σ = 1409524740. Its totient is φ = 133429248.

The previous prime is 449817551. The next prime is 449817581. The reversal of 449817552 is 255718944.

449817552 is a `hidden beast` number, since 4 + 4 + 98 + 1 + 7 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 358117776 + 91699776 = 18924^2 + 9576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 449817498 and 449817507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449817551) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 883474 + ... + 883982.

It is an arithmetic number, because the mean of its divisors is an integer number (7830693).

Almost surely, 2^449817552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449817552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704762370).

449817552 is an abundant number, since it is smaller than the sum of its proper divisors (959707188).

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

449817552 is a wasteful number, since it uses less digits than its factorization.

449817552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 550 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 449817552 is about 21208.9026590251. The cubic root of 449817552 is about 766.2058542286.

The spelling of 449817552 in words is "four hundred forty-nine million, eight hundred seventeen thousand, five hundred fifty-two".