448266240 has 240 divisors, whose sum is σ = 1635777000. Its totient is φ = 113246208.

The previous prime is 448266233. The next prime is 448266257. The reversal of 448266240 is 42662844.

It is a happy number.

448266240 is a `hidden beast` number, since 4 + 4 + 8 + 26 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 448266195 and 448266204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23592951 + ... + 23592969.

Almost surely, 2^448266240 is an apocalyptic number.

448266240 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 448266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817888500).

448266240 is an abundant number, since it is smaller than the sum of its proper divisors (1187510760).

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

448266240 is an frugal number, since it uses more digits than its factorization.

448266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 448266240 is about 21172.2988832106. The cubic root of 448266240 is about 765.3240201154.

The spelling of 448266240 in words is "four hundred forty-eight million, two hundred sixty-six thousand, two hundred forty".