449548800 has 240 divisors, whose sum is σ = 1552668480. Its totient is φ = 114442240.

The previous prime is 449548747. The next prime is 449548811. The reversal of 449548800 is 8845944.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 882946 + ... + 883454.

It is an arithmetic number, because the mean of its divisors is an integer number (6469452).

Almost surely, 2^449548800 is an apocalyptic number.

449548800 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 449548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776334240).

449548800 is an abundant number, since it is smaller than the sum of its proper divisors (1103119680).

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

449548800 is a wasteful number, since it uses less digits than its factorization.

449548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 449548800 is about 21202.5658824587. The cubic root of 449548800 is about 766.0532291042.

The spelling of 449548800 in words is "four hundred forty-nine million, five hundred forty-eight thousand, eight hundred".