448540416 has 180 divisors, whose sum is σ = 1357314112. Its totient is φ = 147308544.

The previous prime is 448540409. The next prime is 448540447. The reversal of 448540416 is 614045844.

It is a happy number.

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

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 19 ways as a sum of consecutive naturals, for example, 2011281 + ... + 2011503.

Almost surely, 2^448540416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678657056).

448540416 is an abundant number, since it is smaller than the sum of its proper divisors (908773696).

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

448540416 is an equidigital number, since it uses as much as digits as its factorization.

448540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 448540416 is about 21178.7727689779. The cubic root of 448540416 is about 765.4800216860.

The spelling of 448540416 in words is "four hundred forty-eight million, five hundred forty thousand, four hundred sixteen".