448009248 has 48 divisors (see below), whose sum is σ = 1177618176. Its totient is φ = 149134080.

The previous prime is 448009229. The next prime is 448009267. The reversal of 448009248 is 842900844.

It is an interprime number because it is at equal distance from previous prime (448009229) and next prime (448009267).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79153 + ... + 84623.

It is an arithmetic number, because the mean of its divisors is an integer number (24533712).

Almost surely, 2^448009248 is an apocalyptic number.

448009248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

448009248 is an abundant number, since it is smaller than the sum of its proper divisors (729608928).

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

448009248 is a wasteful number, since it uses less digits than its factorization.

448009248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 448009248 is about 21166.2289508547. The cubic root of 448009248 is about 765.1777381881.

The spelling of 448009248 in words is "four hundred forty-eight million, nine thousand, two hundred forty-eight".