445714780200 has 192 divisors, whose sum is σ = 1439410996800. Its totient is φ = 113992550400.

The previous prime is 445714780193. The next prime is 445714780213. The reversal of 445714780200 is 2087417544.

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 47 ways as a sum of consecutive naturals, for example, 1297854 + ... + 1604946.

It is an arithmetic number, because the mean of its divisors is an integer number (7496932275).

Almost surely, 2^445714780200 is an apocalyptic number.

445714780200 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 445714780200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719705498400).

445714780200 is an abundant number, since it is smaller than the sum of its proper divisors (993696216600).

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

445714780200 is a wasteful number, since it uses less digits than its factorization.

445714780200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307212 (or 307203 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 42.

The spelling of 445714780200 in words is "four hundred forty-five billion, seven hundred fourteen million, seven hundred eighty thousand, two hundred".