449821120 has 112 divisors (see below), whose sum is σ = 1277526528. Its totient is φ = 147502080.

The previous prime is 449821111. The next prime is 449821121. The reversal of 449821120 is 21128944.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449821121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47155 + ... + 55885.

Almost surely, 2^449821120 is an apocalyptic number.

449821120 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 449821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638763264).

449821120 is an abundant number, since it is smaller than the sum of its proper divisors (827705408).

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

449821120 is a wasteful number, since it uses less digits than its factorization.

449821120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8778 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 449821120 is about 21208.9867744784. The cubic root of 449821120 is about 766.2078800983.

The spelling of 449821120 in words is "four hundred forty-nine million, eight hundred twenty-one thousand, one hundred twenty".