448334000 has 80 divisors (see below), whose sum is σ = 1095721536. Its totient is φ = 177408000.

The previous prime is 448333993. The next prime is 448334021. The reversal of 448334000 is 433844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192845 + ... + 195155.

Almost surely, 2^448334000 is an apocalyptic number.

448334000 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 448334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547860768).

448334000 is an abundant number, since it is smaller than the sum of its proper divisors (647387536).

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

448334000 is a wasteful number, since it uses less digits than its factorization.

448334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 448334000 is about 21173.8990268680. The cubic root of 448334000 is about 765.3625803416.

Adding to 448334000 its reverse (433844), we get a palindrome (448767844).

It can be divided in two parts, 4483 and 34000, that added together give a palindrome (38483).

The spelling of 448334000 in words is "four hundred forty-eight million, three hundred thirty-four thousand".