449545824 has 288 divisors, whose sum is σ = 1667615040. Its totient is φ = 111476736.

The previous prime is 449545823. The next prime is 449545861. The reversal of 449545824 is 428545944.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 449545824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449545823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445032 + ... + 446040.

It is an arithmetic number, because the mean of its divisors is an integer number (5790330).

Almost surely, 2^449545824 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 449545824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833807520).

449545824 is an abundant number, since it is smaller than the sum of its proper divisors (1218069216).

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

449545824 is a wasteful number, since it uses less digits than its factorization.

449545824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1051 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 449545824 is about 21202.4957021573. The cubic root of 449545824 is about 766.0515386838.

The spelling of 449545824 in words is "four hundred forty-nine million, five hundred forty-five thousand, eight hundred twenty-four".