448669440 has 432 divisors, whose sum is σ = 1721865600. Its totient is φ = 107347968.

The previous prime is 448669421. The next prime is 448669447. The reversal of 448669440 is 44966844.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448669447) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5679321 + ... + 5679399.

It is an arithmetic number, because the mean of its divisors is an integer number (3985800).

Almost surely, 2^448669440 is an apocalyptic number.

448669440 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 448669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860932800).

448669440 is an abundant number, since it is smaller than the sum of its proper divisors (1273196160).

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

448669440 is a wasteful number, since it uses less digits than its factorization.

448669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 448669440 is about 21181.8186188061. The cubic root of 448669440 is about 765.5534121931.

The spelling of 448669440 in words is "four hundred forty-eight million, six hundred sixty-nine thousand, four hundred forty".