448014240 has 336 divisors, whose sum is σ = 1665836928. Its totient is φ = 113591808.

The previous prime is 448014239. The next prime is 448014251. The reversal of 448014240 is 42410844.

It is a happy number.

448014240 is a `hidden beast` number, since 4 + 480 + 142 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2682637 + ... + 2682803.

It is an arithmetic number, because the mean of its divisors is an integer number (4957848).

Almost surely, 2^448014240 is an apocalyptic number.

448014240 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 448014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832918464).

448014240 is an abundant number, since it is smaller than the sum of its proper divisors (1217822688).

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

448014240 is a wasteful number, since it uses less digits than its factorization.

448014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 448014240 is about 21166.3468742247. The cubic root of 448014240 is about 765.1805802076.

The spelling of 448014240 in words is "four hundred forty-eight million, fourteen thousand, two hundred forty".