448404800 has 42 divisors (see below), whose sum is σ = 1103359998. Its totient is φ = 179361280.

The previous prime is 448404799. The next prime is 448404821. The reversal of 448404800 is 8404844.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 98565184 + 349839616 = 9928^2 + 18704^2 .

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 5 ways as a sum of consecutive naturals, for example, 138527 + ... + 141726.

Almost surely, 2^448404800 is an apocalyptic number.

448404800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448404800 is an abundant number, since it is smaller than the sum of its proper divisors (654955198).

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

448404800 is a wasteful number, since it uses less digits than its factorization.

448404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280275 (or 280260 counting only the distinct ones).

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

The square root of 448404800 is about 21175.5708305585. The cubic root of 448404800 is about 765.4028663922.

The spelling of 448404800 in words is "four hundred forty-eight million, four hundred four thousand, eight hundred".