449820 has 144 divisors (see below), whose sum is σ = 1723680. Its totient is φ = 96768.

The previous prime is 449807. The next prime is 449821. The reversal of 449820 is 28944.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 449820.

It is not an unprimeable number, because it can be changed into a prime (449821) 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 47 ways as a sum of consecutive naturals, for example, 26452 + ... + 26468.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2⁴⁴⁹⁸²⁰ 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 449820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861840).

449820 is an abundant number, since it is smaller than the sum of its proper divisors (1273860).

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

449820 is a wasteful number, since it uses less digits than its factorization.

449820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 449820 is about 670.6862157522. The cubic root of 449820 is about 76.6207244176.

The spelling of 449820 in words is "four hundred forty-nine thousand, eight hundred twenty".