448093800 has 576 divisors, whose sum is σ = 1942911360. Its totient is φ = 89856000.

The previous prime is 448093787. The next prime is 448093801. The reversal of 448093800 is 8390844.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (448093801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7345770 + ... + 7345830.

It is an arithmetic number, because the mean of its divisors is an integer number (3373110).

Almost surely, 2^448093800 is an apocalyptic number.

448093800 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 448093800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971455680).

448093800 is an abundant number, since it is smaller than the sum of its proper divisors (1494817560).

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

448093800 is a wasteful number, since it uses less digits than its factorization.

448093800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 448093800 is about 21168.2261892677. The cubic root of 448093800 is about 765.2258720445.

The spelling of 448093800 in words is "four hundred forty-eight million, ninety-three thousand, eight hundred".