449342080 has 128 divisors (see below), whose sum is σ = 1187524800. Its totient is φ = 161218560.

The previous prime is 449342063. The next prime is 449342081. The reversal of 449342080 is 80243944.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (449342081) 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 15 ways as a sum of consecutive naturals, for example, 583936 + ... + 584704.

Almost surely, 2^449342080 is an apocalyptic number.

449342080 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 449342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593762400).

449342080 is an abundant number, since it is smaller than the sum of its proper divisors (738182720).

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

449342080 is a wasteful number, since it uses less digits than its factorization.

449342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 449342080 is about 21197.6904402343. The cubic root of 449342080 is about 765.9357907580.

The spelling of 449342080 in words is "four hundred forty-nine million, three hundred forty-two thousand, eighty".