448140000 has 480 divisors, whose sum is σ = 1851607296. Its totient is φ = 92160000.

The previous prime is 448139983. The next prime is 448140013. The reversal of 448140000 is 41844.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 79 ways as a sum of consecutive naturals, for example, 4619952 + ... + 4620048.

Almost surely, 2^448140000 is an apocalyptic number.

448140000 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 448140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925803648).

448140000 is an abundant number, since it is smaller than the sum of its proper divisors (1403467296).

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

448140000 is a wasteful number, since it uses less digits than its factorization.

448140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 448140000 is about 21169.3174193218. The cubic root of 448140000 is about 765.2521702737.

Adding to 448140000 its reverse (41844), we get a palindrome (448181844).

The spelling of 448140000 in words is "four hundred forty-eight million, one hundred forty thousand".