449768 has 32 divisors (see below), whose sum is σ = 972000. Its totient is φ = 192960.

The previous prime is 449767. The next prime is 449773. The reversal of 449768 is 867944.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (449767) 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 7 ways as a sum of consecutive naturals, for example, 1538 + ... + 1806.

It is an arithmetic number, because the mean of its divisors is an integer number (30375).

2⁴⁴⁹⁷⁶⁸ 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 449768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486000).

449768 is an abundant number, since it is smaller than the sum of its proper divisors (522232).

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

449768 is a wasteful number, since it uses less digits than its factorization.

449768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 449768 is about 670.6474483661. The cubic root of 449768 is about 76.6177718061.

The spelling of 449768 in words is "four hundred forty-nine thousand, seven hundred sixty-eight".