449001960 has 288 divisors, whose sum is σ = 1587509280. Its totient is φ = 101488640.

The previous prime is 449001953. The next prime is 449001979. The reversal of 449001960 is 69100944.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4196227 + ... + 4196333.

It is an arithmetic number, because the mean of its divisors is an integer number (5512185).

Almost surely, 2^449001960 is an apocalyptic number.

449001960 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 449001960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793754640).

449001960 is an abundant number, since it is smaller than the sum of its proper divisors (1138507320).

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

449001960 is a wasteful number, since it uses less digits than its factorization.

449001960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 449001960 is about 21189.6663494261. Note that the first 3 decimals coincide. The cubic root of 449001960 is about 765.7424890030.

The spelling of 449001960 in words is "four hundred forty-nine million, one thousand, nine hundred sixty".