448044800 has 216 divisors, whose sum is σ = 1294146336. Its totient is φ = 150405120.

The previous prime is 448044797. The next prime is 448044823. The reversal of 448044800 is 8440844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 3270332 + ... + 3270468.

Almost surely, 2^448044800 is an apocalyptic number.

448044800 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 448044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647073168).

448044800 is an abundant number, since it is smaller than the sum of its proper divisors (846101536).

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

448044800 is a wasteful number, since it uses less digits than its factorization.

448044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 448044800 is about 21167.0687625850. The cubic root of 448044800 is about 765.1979780079.

It can be divided in two parts, 448044 and 800, that added together give a palindrome (448844).

The spelling of 448044800 in words is "four hundred forty-eight million, forty-four thousand, eight hundred".