449222760 has 320 divisors, whose sum is σ = 1787702400. Its totient is φ = 98993664.

The previous prime is 449222743. The next prime is 449222771. The reversal of 449222760 is 67222944.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 657379 + ... + 658061.

It is an arithmetic number, because the mean of its divisors is an integer number (5586570).

Almost surely, 2^449222760 is an apocalyptic number.

449222760 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 449222760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893851200).

449222760 is an abundant number, since it is smaller than the sum of its proper divisors (1338479640).

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

449222760 is a wasteful number, since it uses less digits than its factorization.

449222760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 449222760 is about 21194.8757958144. The cubic root of 449222760 is about 765.8679882579.

The spelling of 449222760 in words is "four hundred forty-nine million, two hundred twenty-two thousand, seven hundred sixty".