448097600 has 42 divisors (see below), whose sum is σ = 1102604094. Its totient is φ = 179238400.

The previous prime is 448097599. The next prime is 448097609. The reversal of 448097600 is 6790844.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 51609856 + 396487744 = 7184^2 + 19912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448097609) 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, 138431 + ... + 141630.

Almost surely, 2^448097600 is an apocalyptic number.

448097600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448097600 is an abundant number, since it is smaller than the sum of its proper divisors (654506494).

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

448097600 is a wasteful number, since it uses less digits than its factorization.

448097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280083 (or 280068 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 448097600 is about 21168.3159462438. The cubic root of 448097600 is about 765.2280351705.

The spelling of 448097600 in words is "four hundred forty-eight million, ninety-seven thousand, six hundred".