448785414 has 192 divisors, whose sum is σ = 1341515520. Its totient is φ = 109589760.

The previous prime is 448785413. The next prime is 448785451. The reversal of 448785414 is 414587844.

It is a self number, because there is not a number n which added to its sum of digits gives 448785414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448785413) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 494349 + ... + 495255.

It is an arithmetic number, because the mean of its divisors is an integer number (6987060).

Almost surely, 2^448785414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448785414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670757760).

448785414 is an abundant number, since it is smaller than the sum of its proper divisors (892730106).

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

448785414 is a wasteful number, since it uses less digits than its factorization.

448785414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 947 counting only the distinct ones).

The product of its digits is 573440, while the sum is 45.

The square root of 448785414 is about 21184.5560255579. The cubic root of 448785414 is about 765.6193676865.

The spelling of 448785414 in words is "four hundred forty-eight million, seven hundred eighty-five thousand, four hundred fourteen".