449440320 has 224 divisors, whose sum is σ = 1666695168. Its totient is φ = 100472832.

The previous prime is 449440297. The next prime is 449440351. The reversal of 449440320 is 23044944.

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 (30).

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, 315129 + ... + 316551.

Almost surely, 2^449440320 is an apocalyptic number.

449440320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833347584).

449440320 is an abundant number, since it is smaller than the sum of its proper divisors (1217254848).

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

449440320 is a wasteful number, since it uses less digits than its factorization.

449440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 449440320 is about 21200.0075471685. The cubic root of 449440320 is about 765.9916057317.

The spelling of 449440320 in words is "four hundred forty-nine million, four hundred forty thousand, three hundred twenty".