444020420 has 24 divisors (see below), whose sum is σ = 933989784. Its totient is φ = 177313536.

The previous prime is 444020413. The next prime is 444020441. The reversal of 444020420 is 24020444.

It can be written as a sum of positive squares in 4 ways, for example, as 29246464 + 414773956 = 5408^2 + 20366^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 444020392 and 444020401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5849 + ... + 30368.

It is an arithmetic number, because the mean of its divisors is an integer number (38916241).

Almost surely, 2^444020420 is an apocalyptic number.

It is an amenable number.

444020420 is an abundant number, since it is smaller than the sum of its proper divisors (489969364).

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

444020420 is a wasteful number, since it uses less digits than its factorization.

444020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36839 (or 36837 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 444020420 is about 21071.7920452913. The cubic root of 444020420 is about 762.9000577366.

Adding to 444020420 its reverse (24020444), we get a palindrome (468040864).

The spelling of 444020420 in words is "four hundred forty-four million, twenty thousand, four hundred twenty".