448440800 has 36 divisors (see below), whose sum is σ = 1094758056. Its totient is φ = 179376000.

The previous prime is 448440799. The next prime is 448440809. The reversal of 448440800 is 8044844.

It is a happy number.

It is a super-2 number, since 2×448440800² = 402198302209280000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448440809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 279476 + ... + 281075.

It is an arithmetic number, because the mean of its divisors is an integer number (30409946).

Almost surely, 2^448440800 is an apocalyptic number.

448440800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448440800 is an abundant number, since it is smaller than the sum of its proper divisors (646317256).

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

448440800 is a wasteful number, since it uses less digits than its factorization.

448440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560571 (or 560558 counting only the distinct ones).

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

The square root of 448440800 is about 21176.4208496148. The cubic root of 448440800 is about 765.4233491983.

The spelling of 448440800 in words is "four hundred forty-eight million, four hundred forty thousand, eight hundred".