449568 has 72 divisors (see below), whose sum is σ = 1467648. Its totient is φ = 127872.

The previous prime is 449567. The next prime is 449569. The reversal of 449568 is 865944.

449568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (449567) and next prime (449569).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×449568² = 404222773248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1905 + ... + 2127.

It is an arithmetic number, because the mean of its divisors is an integer number (20384).

2⁴⁴⁹⁵⁶⁸ is an apocalyptic number.

449568 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 449568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733824).

449568 is an abundant number, since it is smaller than the sum of its proper divisors (1018080).

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

449568 is a wasteful number, since it uses less digits than its factorization.

449568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 235 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 449568 is about 670.4983221456. The cubic root of 449568 is about 76.6064134863.

The spelling of 449568 in words is "four hundred forty-nine thousand, five hundred sixty-eight".