449449000 has 256 divisors, whose sum is σ = 1415232000. Its totient is φ = 129024000.

The previous prime is 449448991. The next prime is 449449001. The reversal of 449449000 is 944944.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449449001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1000776 + ... + 1001224.

It is an arithmetic number, because the mean of its divisors is an integer number (5528250).

Almost surely, 2^449449000 is an apocalyptic number.

449449000 is a gapful number since it is divisible by the number (40) 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 449449000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

449449000 is an abundant number, since it is smaller than the sum of its proper divisors (965783000).

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

449449000 is a wasteful number, since it uses less digits than its factorization.

449449000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 449449000 is about 21200.2122630883. The cubic root of 449449000 is about 765.9965368753.

The spelling of 449449000 in words is "four hundred forty-nine million, four hundred forty-nine thousand".