449226120 has 192 divisors, whose sum is σ = 1650628800. Its totient is φ = 97251840.

The previous prime is 449226119. The next prime is 449226181. The reversal of 449226120 is 21622944.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 109710 + ... + 113730.

It is an arithmetic number, because the mean of its divisors is an integer number (8597025).

Almost surely, 2^449226120 is an apocalyptic number.

449226120 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 449226120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825314400).

449226120 is an abundant number, since it is smaller than the sum of its proper divisors (1201402680).

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

449226120 is a wasteful number, since it uses less digits than its factorization.

449226120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 449226120 is about 21194.9550601081. The cubic root of 449226120 is about 765.8698977115.

The spelling of 449226120 in words is "four hundred forty-nine million, two hundred twenty-six thousand, one hundred twenty".