449982468 has 72 divisors (see below), whose sum is σ = 1228008600. Its totient is φ = 138110976.

The previous prime is 449982461. The next prime is 449982521. The reversal of 449982468 is 864289944.

It can be written as a sum of positive squares in 4 ways, for example, as 55086084 + 394896384 = 7422^2 + 19872^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (449982461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237268 + ... + 239156.

It is an arithmetic number, because the mean of its divisors is an integer number (17055675).

Almost surely, 2^449982468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449982468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614004300).

449982468 is an abundant number, since it is smaller than the sum of its proper divisors (778026132).

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

449982468 is a wasteful number, since it uses less digits than its factorization.

449982468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2416 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 449982468 is about 21212.7901983685. The cubic root of 449982468 is about 766.2994804591.

The spelling of 449982468 in words is "four hundred forty-nine million, nine hundred eighty-two thousand, four hundred sixty-eight".