448262732200 has 96 divisors (see below), whose sum is σ = 1075318675200. Its totient is φ = 173694792960.

The previous prime is 448262732189. The next prime is 448262732231. The reversal of 448262732200 is 2237262844.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569749 + ... + 1105051.

It is an arithmetic number, because the mean of its divisors is an integer number (11201236200).

Almost surely, 2^448262732200 is an apocalyptic number.

448262732200 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 448262732200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537659337600).

448262732200 is an abundant number, since it is smaller than the sum of its proper divisors (627055943000).

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

448262732200 is a wasteful number, since it uses less digits than its factorization.

448262732200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535451 (or 535442 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 448262732200 in words is "four hundred forty-eight billion, two hundred sixty-two million, seven hundred thirty-two thousand, two hundred".