448624000 has 128 divisors (see below), whose sum is σ = 1217268000. Its totient is φ = 163072000.

The previous prime is 448623983. The next prime is 448624003. The reversal of 448624000 is 426844.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 448624000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448624003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174726 + ... + 177274.

Almost surely, 2^448624000 is an apocalyptic number.

448624000 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 448624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608634000).

448624000 is an abundant number, since it is smaller than the sum of its proper divisors (768644000).

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

448624000 is a wasteful number, since it uses less digits than its factorization.

448624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 448624000 is about 21180.7459736431. The cubic root of 448624000 is about 765.5275669432.

The spelling of 448624000 in words is "four hundred forty-eight million, six hundred twenty-four thousand".