449645600 has 72 divisors (see below), whose sum is σ = 1101335760. Its totient is φ = 179262720.

The previous prime is 449645543. The next prime is 449645629. The reversal of 449645600 is 6546944.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302459 + ... + 303941.

It is an arithmetic number, because the mean of its divisors is an integer number (15296330).

Almost surely, 2^449645600 is an apocalyptic number.

449645600 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 449645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550667880).

449645600 is an abundant number, since it is smaller than the sum of its proper divisors (651690160).

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

449645600 is a wasteful number, since it uses less digits than its factorization.

449645600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 449645600 is about 21204.8485021704. The cubic root of 449645600 is about 766.1082091426.

The spelling of 449645600 in words is "four hundred forty-nine million, six hundred forty-five thousand, six hundred".