448741800 has 288 divisors, whose sum is σ = 1646561280. Its totient is φ = 108864000.

The previous prime is 448741793. The next prime is 448741801. The reversal of 448741800 is 8147844.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (448741801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2971725 + ... + 2971875.

Almost surely, 2^448741800 is an apocalyptic number.

448741800 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 448741800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823280640).

448741800 is an abundant number, since it is smaller than the sum of its proper divisors (1197819480).

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

448741800 is a wasteful number, since it uses less digits than its factorization.

448741800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 448741800 is about 21183.5266185779. The cubic root of 448741800 is about 765.5945653319.

The spelling of 448741800 in words is "four hundred forty-eight million, seven hundred forty-one thousand, eight hundred".