449220240 has 480 divisors, whose sum is σ = 1880236800. Its totient is φ = 95735808.

The previous prime is 449220221. The next prime is 449220253. The reversal of 449220240 is 42022944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4198267 + ... + 4198373.

It is an arithmetic number, because the mean of its divisors is an integer number (3917160).

Almost surely, 2^449220240 is an apocalyptic number.

449220240 is a gapful number since it is divisible by the number (40) 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 449220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940118400).

449220240 is an abundant number, since it is smaller than the sum of its proper divisors (1431016560).

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

449220240 is a wasteful number, since it uses less digits than its factorization.

449220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 449220240 is about 21194.8163473997. The cubic root of 449220240 is about 765.8665561615.

The spelling of 449220240 in words is "four hundred forty-nine million, two hundred twenty thousand, two hundred forty".