448609248 has 72 divisors (see below), whose sum is σ = 1277797248. Its totient is φ = 149294592.

The previous prime is 448609237. The next prime is 448609253. The reversal of 448609248 is 842906844.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×448609248² = 402500514782251008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312340 + ... + 313772.

It is an arithmetic number, because the mean of its divisors is an integer number (17747184).

Almost surely, 2^448609248 is an apocalyptic number.

448609248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

448609248 is an abundant number, since it is smaller than the sum of its proper divisors (829188000).

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

448609248 is a wasteful number, since it uses less digits than its factorization.

448609248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 448609248 is about 21180.3977299766. The cubic root of 448609248 is about 765.5191759621.

The spelling of 448609248 in words is "four hundred forty-eight million, six hundred nine thousand, two hundred forty-eight".