449330112 has 336 divisors, whose sum is σ = 1664776960. Its totient is φ = 116328960.

The previous prime is 449330099. The next prime is 449330143. The reversal of 449330112 is 211033944.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1463463 + ... + 1463769.

Almost surely, 2^449330112 is an apocalyptic number.

449330112 is a gapful number since it is divisible by the number (42) 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 449330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832388480).

449330112 is an abundant number, since it is smaller than the sum of its proper divisors (1215446848).

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

449330112 is a wasteful number, since it uses less digits than its factorization.

449330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 449330112 is about 21197.4081434500. The cubic root of 449330112 is about 765.9289905929.

The spelling of 449330112 in words is "four hundred forty-nine million, three hundred thirty thousand, one hundred twelve".