448856100 has 576 divisors, whose sum is σ = 1919877120. Its totient is φ = 87091200.

The previous prime is 448856081. The next prime is 448856123. The reversal of 448856100 is 1658844.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3534237 + ... + 3534363.

It is an arithmetic number, because the mean of its divisors is an integer number (3333120).

Almost surely, 2^448856100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448856100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959938560).

448856100 is an abundant number, since it is smaller than the sum of its proper divisors (1471021020).

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

448856100 is a wasteful number, since it uses less digits than its factorization.

448856100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 448856100 is about 21186.2242978781. The cubic root of 448856100 is about 765.6595618995.

The spelling of 448856100 in words is "four hundred forty-eight million, eight hundred fifty-six thousand, one hundred".