444421120 has 176 divisors, whose sum is σ = 1254532608. Its totient is φ = 148930560.

The previous prime is 444421079. The next prime is 444421121. The reversal of 444421120 is 21124444.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-3 number, since 3×444421120³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 444421091 and 444421100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444421121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 731857 + ... + 732463.

Almost surely, 2^444421120 is an apocalyptic number.

444421120 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 444421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627266304).

444421120 is an abundant number, since it is smaller than the sum of its proper divisors (810111488).

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

444421120 is a wasteful number, since it uses less digits than its factorization.

444421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 444421120 is about 21081.2978727592. The cubic root of 444421120 is about 763.1294782235.

Adding to 444421120 its reverse (21124444), we get a palindrome (465545564).

The spelling of 444421120 in words is "four hundred forty-four million, four hundred twenty-one thousand, one hundred twenty".