444421200 has 120 divisors (see below), whose sum is σ = 1432274400. Its totient is φ = 117793280.

The previous prime is 444421193. The next prime is 444421223. The reversal of 444421200 is 2124444.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×444421200³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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, 213766 + ... + 215834.

It is an arithmetic number, because the mean of its divisors is an integer number (11935620).

Almost surely, 2^444421200 is an apocalyptic number.

444421200 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 444421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716137200).

444421200 is an abundant number, since it is smaller than the sum of its proper divisors (987853200).

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

444421200 is a wasteful number, since it uses less digits than its factorization.

444421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 444421200 is about 21081.2997701755. The cubic root of 444421200 is about 763.1295240136.

Adding to 444421200 its reverse (2124444), we get a palindrome (446545644).

It can be divided in two parts, 44 and 4421200, that added together give a palindrome (4421244).

The spelling of 444421200 in words is "four hundred forty-four million, four hundred twenty-one thousand, two hundred".