444420000 has 240 divisors, whose sum is σ = 1621730880. Its totient is φ = 118368000.

The previous prime is 444419993. The next prime is 444420017. The reversal of 444420000 is 24444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×444420000³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 539589 + ... + 540411.

It is an arithmetic number, because the mean of its divisors is an integer number (6757212).

Almost surely, 2^444420000 is an apocalyptic number.

444420000 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 444420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810865440).

444420000 is an abundant number, since it is smaller than the sum of its proper divisors (1177310880).

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

444420000 is an equidigital number, since it uses as much as digits as its factorization.

444420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 444420000 is about 21081.2713089130. The cubic root of 444420000 is about 763.1288371605.

Adding to 444420000 its reverse (24444), we get a palindrome (444444444).

The spelling of 444420000 in words is "four hundred forty-four million, four hundred twenty thousand".