449349960 has 128 divisors (see below), whose sum is σ = 1400832000. Its totient is φ = 115188480.

The previous prime is 449349937. The next prime is 449349961. The reversal of 449349960 is 69943944.

It is not an unprimeable number, because it can be changed into a prime (449349961) 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 31 ways as a sum of consecutive naturals, for example, 739977 + ... + 740583.

It is an arithmetic number, because the mean of its divisors is an integer number (10944000).

Almost surely, 2^449349960 is an apocalyptic number.

449349960 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 449349960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700416000).

449349960 is an abundant number, since it is smaller than the sum of its proper divisors (951482040).

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

449349960 is a wasteful number, since it uses less digits than its factorization.

449349960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 449349960 is about 21197.8763087249. The cubic root of 449349960 is about 765.9402680735.

The spelling of 449349960 in words is "four hundred forty-nine million, three hundred forty-nine thousand, nine hundred sixty".