449988 has 48 divisors (see below), whose sum is σ = 1311744. Its totient is φ = 116640.

The previous prime is 449987. The next prime is 449989. The reversal of 449988 is 889944.

It is an interprime number because it is at equal distance from previous prime (449987) and next prime (449989).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an Ulam number.

Its product of digits (82944) is a multiple of the sum of its prime factors (512).

It is a zygodrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 449988.

It is not an unprimeable number, because it can be changed into a prime (449987) 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 15 ways as a sum of consecutive naturals, for example, 681 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (27328).

2⁴⁴⁹⁹⁸⁸ 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 449988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655872).

449988 is an abundant number, since it is smaller than the sum of its proper divisors (861756).

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

449988 is a wasteful number, since it uses less digits than its factorization.

449988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 449988 is about 670.8114489184. The cubic root of 449988 is about 76.6302620694.

The spelling of 449988 in words is "four hundred forty-nine thousand, nine hundred eighty-eight".