448506240 has 512 divisors, whose sum is σ = 1875363840. Its totient is φ = 88473600.

The previous prime is 448506217. The next prime is 448506251. The reversal of 448506240 is 42605844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2970165 + ... + 2970315.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2^448506240 is an apocalyptic number.

448506240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937681920).

448506240 is an abundant number, since it is smaller than the sum of its proper divisors (1426857600).

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

448506240 is a wasteful number, since it uses less digits than its factorization.

448506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 448506240 is about 21177.9659079903. The cubic root of 448506240 is about 765.4605795810.

The spelling of 448506240 in words is "four hundred forty-eight million, five hundred six thousand, two hundred forty".