448420200 has 96 divisors (see below), whose sum is σ = 1393735200. Its totient is φ = 119266560.

The previous prime is 448420171. The next prime is 448420229. The reversal of 448420200 is 2024844.

It is an interprime number because it is at equal distance from previous prime (448420171) and next prime (448420229).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313086 + ... + 314514.

It is an arithmetic number, because the mean of its divisors is an integer number (14518075).

Almost surely, 2^448420200 is an apocalyptic number.

448420200 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 448420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696867600).

448420200 is an abundant number, since it is smaller than the sum of its proper divisors (945315000).

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

448420200 is a wasteful number, since it uses less digits than its factorization.

448420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 448420200 is about 21175.9344539975. The cubic root of 448420200 is about 765.4116286156.

The spelling of 448420200 in words is "four hundred forty-eight million, four hundred twenty thousand, two hundred".