448264640 has 56 divisors (see below), whose sum is σ = 1074615072. Its totient is φ = 178099200.

The previous prime is 448264631. The next prime is 448264679. The reversal of 448264640 is 46462844.

It is a junction number, because it is equal to n+sod(n) for n = 448264594 and 448264603.

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 7 ways as a sum of consecutive naturals, for example, 43682 + ... + 52958.

Almost surely, 2^448264640 is an apocalyptic number.

448264640 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 448264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537307536).

448264640 is an abundant number, since it is smaller than the sum of its proper divisors (626350432).

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

448264640 is a wasteful number, since it uses less digits than its factorization.

448264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9445 (or 9435 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The square root of 448264640 is about 21172.2610979555. The cubic root of 448264640 is about 765.3231095554.

The spelling of 448264640 in words is "four hundred forty-eight million, two hundred sixty-four thousand, six hundred forty".