449600112 has 160 divisors (see below), whose sum is σ = 1399910400. Its totient is φ = 137334528.

The previous prime is 449600101. The next prime is 449600153. The reversal of 449600112 is 211006944.

449600112 is a `hidden beast` number, since 4 + 49 + 600 + 1 + 12 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1252189 + ... + 1252547.

It is an arithmetic number, because the mean of its divisors is an integer number (8749440).

Almost surely, 2^449600112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449600112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699955200).

449600112 is an abundant number, since it is smaller than the sum of its proper divisors (950310288).

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

449600112 is a wasteful number, since it uses less digits than its factorization.

449600112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 449600112 is about 21203.7758901569. The cubic root of 449600112 is about 766.0823740512.

The spelling of 449600112 in words is "four hundred forty-nine million, six hundred thousand, one hundred twelve".