449819568 has 200 divisors, whose sum is σ = 1436783040. Its totient is φ = 134732160.

The previous prime is 449819521. The next prime is 449819597. The reversal of 449819568 is 865918944.

449819568 is a `hidden beast` number, since 4 + 498 + 1 + 95 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 1981471 + ... + 1981697.

Almost surely, 2^449819568 is an apocalyptic number.

449819568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449819568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718391520).

449819568 is an abundant number, since it is smaller than the sum of its proper divisors (986963472).

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

449819568 is a wasteful number, since it uses less digits than its factorization.

449819568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 382 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 449819568 is about 21208.9501861832. The cubic root of 449819568 is about 766.2069988917.

The spelling of 449819568 in words is "four hundred forty-nine million, eight hundred nineteen thousand, five hundred sixty-eight".