445104200 has 192 divisors, whose sum is σ = 1169925120. Its totient is φ = 156672000.

The previous prime is 445104199. The next prime is 445104227. The reversal of 445104200 is 2401544.

It is a super-3 number, since 3×445104200³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4321349 + ... + 4321451.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^445104200 is an apocalyptic number.

445104200 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 445104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584962560).

445104200 is an abundant number, since it is smaller than the sum of its proper divisors (724820920).

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

445104200 is a wasteful number, since it uses less digits than its factorization.

445104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 445104200 is about 21097.4927420298. The cubic root of 445104200 is about 763.5202574628.

Adding to 445104200 its reverse (2401544), we get a palindrome (447505744).

The spelling of 445104200 in words is "four hundred forty-five million, one hundred four thousand, two hundred".