448224414 has 96 divisors (see below), whose sum is σ = 1089365760. Its totient is φ = 122200320.

The previous prime is 448224373. The next prime is 448224449. The reversal of 448224414 is 414422844.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283077 + ... + 284655.

It is an arithmetic number, because the mean of its divisors is an integer number (11347560).

Almost surely, 2^448224414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448224414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544682880).

448224414 is an abundant number, since it is smaller than the sum of its proper divisors (641141346).

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

448224414 is a wasteful number, since it uses less digits than its factorization.

448224414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1635 counting only the distinct ones).

The product of its digits is 32768, while the sum is 33.

The square root of 448224414 is about 21171.3111072508. The cubic root of 448224414 is about 765.3002162274.

The spelling of 448224414 in words is "four hundred forty-eight million, two hundred twenty-four thousand, four hundred fourteen".