449841168 has 240 divisors, whose sum is σ = 1526688000. Its totient is φ = 126427392.

The previous prime is 449841151. The next prime is 449841179. The reversal of 449841168 is 861148944.

449841168 is a `hidden beast` number, since 449 + 8 + 41 + 168 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1672138 + ... + 1672406.

It is an arithmetic number, because the mean of its divisors is an integer number (6361200).

Almost surely, 2^449841168 is an apocalyptic number.

449841168 is a gapful number since it is divisible by the number (48) 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 449841168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763344000).

449841168 is an abundant number, since it is smaller than the sum of its proper divisors (1076846832).

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

449841168 is a wasteful number, since it uses less digits than its factorization.

449841168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 449841168 is about 21209.4593990512. The cubic root of 449841168 is about 766.2192629249.

The spelling of 449841168 in words is "four hundred forty-nine million, eight hundred forty-one thousand, one hundred sixty-eight".