449480 has 32 divisors (see below), whose sum is σ = 1072440. Its totient is φ = 168960.

The previous prime is 449473. The next prime is 449543. The reversal of 449480 is 84944.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 438244 + 11236 = 662^2 + 106^2 .

It is an unprimeable number.

449480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 350 + ... + 1010.

2⁴⁴⁹⁴⁸⁰ is an apocalyptic number.

449480 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 449480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536220).

449480 is an abundant number, since it is smaller than the sum of its proper divisors (622960).

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

449480 is a wasteful number, since it uses less digits than its factorization.

449480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 449480 is about 670.4326961001. The cubic root of 449480 is about 76.6014147584.

It can be divided in two parts, 449 and 480, that added together give a palindrome (929).

The spelling of 449480 in words is "four hundred forty-nine thousand, four hundred eighty".