449374016 has 224 divisors, whose sum is σ = 1201643520. Its totient is φ = 161740800.

The previous prime is 449374001. The next prime is 449374021. The reversal of 449374016 is 610473944.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3430271 + ... + 3430401.

It is an arithmetic number, because the mean of its divisors is an integer number (5364480).

Almost surely, 2^449374016 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 449374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600821760).

449374016 is an abundant number, since it is smaller than the sum of its proper divisors (752269504).

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

449374016 is a wasteful number, since it uses less digits than its factorization.

449374016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 449374016 is about 21198.4437164618. The cubic root of 449374016 is about 765.9539360620.

The spelling of 449374016 in words is "four hundred forty-nine million, three hundred seventy-four thousand, sixteen".