449268192 has 72 divisors (see below), whose sum is σ = 1281256704. Its totient is φ = 149328384.

The previous prime is 449268109. The next prime is 449268221. The reversal of 449268192 is 291862944.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108268 + ... + 112340.

It is an arithmetic number, because the mean of its divisors is an integer number (17795232).

Almost surely, 2^449268192 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 449268192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640628352).

449268192 is an abundant number, since it is smaller than the sum of its proper divisors (831988512).

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

449268192 is a wasteful number, since it uses less digits than its factorization.

449268192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472 (or 4461 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 449268192 is about 21195.9475372063. The cubic root of 449268192 is about 765.8938059922.

The spelling of 449268192 in words is "four hundred forty-nine million, two hundred sixty-eight thousand, one hundred ninety-two".