449491968 has 264 divisors, whose sum is σ = 1456153920. Its totient is φ = 132710400.

The previous prime is 449491937. The next prime is 449491969. The reversal of 449491968 is 869194944.

It is a happy number.

449491968 is a `hidden beast` number, since 4 + 494 + 91 + 9 + 68 = 666.

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

Its product of digits (2239488) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449491969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2976693 + ... + 2976843.

Almost surely, 2^449491968 is an apocalyptic number.

449491968 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 449491968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728076960).

449491968 is an abundant number, since it is smaller than the sum of its proper divisors (1006661952).

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

449491968 is a wasteful number, since it uses less digits than its factorization.

449491968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 449491968 is about 21201.2256249491. The cubic root of 449491968 is about 766.0209462376.

The spelling of 449491968 in words is "four hundred forty-nine million, four hundred ninety-one thousand, nine hundred sixty-eight".