448422000 has 160 divisors (see below), whose sum is σ = 1557192000. Its totient is φ = 110361600.

The previous prime is 448421999. The next prime is 448422001. The reversal of 448422000 is 224844.

It is an interprime number because it is at equal distance from previous prime (448421999) and next prime (448422001).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448422001) 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 31 ways as a sum of consecutive naturals, for example, 75126 + ... + 80874.

It is an arithmetic number, because the mean of its divisors is an integer number (9732450).

Almost surely, 2^448422000 is an apocalyptic number.

448422000 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 448422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778596000).

448422000 is an abundant number, since it is smaller than the sum of its proper divisors (1108770000).

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

448422000 is a wasteful number, since it uses less digits than its factorization.

448422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 448422000 is about 21175.9769550309. The cubic root of 448422000 is about 765.4126527585.

Adding to 448422000 its reverse (224844), we get a palindrome (448646844).

The spelling of 448422000 in words is "four hundred forty-eight million, four hundred twenty-two thousand".