449686224 has 240 divisors, whose sum is σ = 1462406400. Its totient is φ = 127816704.

The previous prime is 449686219. The next prime is 449686241. The reversal of 449686224 is 422686944.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 449686224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1671562 + ... + 1671830.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^449686224 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 449686224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

449686224 is an abundant number, since it is smaller than the sum of its proper divisors (1012720176).

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

449686224 is a wasteful number, since it uses less digits than its factorization.

449686224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 353 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 449686224 is about 21205.8063746701. The cubic root of 449686224 is about 766.1312802328.

The spelling of 449686224 in words is "four hundred forty-nine million, six hundred eighty-six thousand, two hundred twenty-four".