449921304 has 224 divisors, whose sum is σ = 1473189120. Its totient is φ = 126111168.

The previous prime is 449921267. The next prime is 449921309. The reversal of 449921304 is 403129944.

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 (449921309) 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 55 ways as a sum of consecutive naturals, for example, 4204819 + ... + 4204925.

Almost surely, 2^449921304 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 449921304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736594560).

449921304 is an abundant number, since it is smaller than the sum of its proper divisors (1023267816).

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

449921304 is a wasteful number, since it uses less digits than its factorization.

449921304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 449921304 is about 21211.3484719855. The cubic root of 449921304 is about 766.2647590581.

The spelling of 449921304 in words is "four hundred forty-nine million, nine hundred twenty-one thousand, three hundred four".