449072448 has 224 divisors, whose sum is σ = 1412321280. Its totient is φ = 124761600.

The previous prime is 449072389. The next prime is 449072471. The reversal of 449072448 is 844270944.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14486193 + ... + 14486223.

Almost surely, 2^449072448 is an apocalyptic number.

449072448 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 449072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706160640).

449072448 is an abundant number, since it is smaller than the sum of its proper divisors (963248832).

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

449072448 is a wasteful number, since it uses less digits than its factorization.

449072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 449072448 is about 21191.3295477183. The cubic root of 449072448 is about 765.7825577459.

The spelling of 449072448 in words is "four hundred forty-nine million, seventy-two thousand, four hundred forty-eight".