449221248 has 256 divisors, whose sum is σ = 1566720000. Its totient is φ = 124001280.

The previous prime is 449221247. The next prime is 449221261. The reversal of 449221248 is 842122944.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449221247) 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 31 ways as a sum of consecutive naturals, for example, 749653 + ... + 750251.

It is an arithmetic number, because the mean of its divisors is an integer number (6120000).

Almost surely, 2^449221248 is an apocalyptic number.

449221248 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 449221248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783360000).

449221248 is an abundant number, since it is smaller than the sum of its proper divisors (1117498752).

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

449221248 is a wasteful number, since it uses less digits than its factorization.

449221248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 642 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 449221248 is about 21194.8401267856. The cubic root of 449221248 is about 765.8671290007.

The spelling of 449221248 in words is "four hundred forty-nine million, two hundred twenty-one thousand, two hundred forty-eight".