449359360 has 80 divisors (see below), whose sum is σ = 1083185136. Its totient is φ = 178782208.

The previous prime is 449359357. The next prime is 449359409. The reversal of 449359360 is 63953944.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 657579 + ... + 658261.

Almost surely, 2^449359360 is an apocalyptic number.

449359360 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 449359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541592568).

449359360 is an abundant number, since it is smaller than the sum of its proper divisors (633825776).

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

449359360 is an equidigital number, since it uses as much as digits as its factorization.

449359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 43.

The square root of 449359360 is about 21198.0980278892. The cubic root of 449359360 is about 765.9456089651.

The spelling of 449359360 in words is "four hundred forty-nine million, three hundred fifty-nine thousand, three hundred sixty".