449241600 has 120 divisors (see below), whose sum is σ = 1484168400. Its totient is φ = 119787520.

The previous prime is 449241599. The next prime is 449241613. The reversal of 449241600 is 6142944.

It is a tau number, because it is divible by the number of its divisors (120).

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32551 + ... + 44249.

It is an arithmetic number, because the mean of its divisors is an integer number (12368070).

Almost surely, 2^449241600 is an apocalyptic number.

449241600 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 449241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742084200).

449241600 is an abundant number, since it is smaller than the sum of its proper divisors (1034926800).

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

449241600 is a wasteful number, since it uses less digits than its factorization.

449241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11730 (or 11709 counting only the distinct ones).

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

The square root of 449241600 is about 21195.3202382035. The cubic root of 449241600 is about 765.8786947140.

The spelling of 449241600 in words is "four hundred forty-nine million, two hundred forty-one thousand, six hundred".