444200020 has 48 divisors (see below), whose sum is σ = 1027748736. Its totient is φ = 159920000.

The previous prime is 444200011. The next prime is 444200077. The reversal of 444200020 is 20002444.

It is a junction number, because it is equal to n+sod(n) for n = 444199967 and 444200003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12225 + ... + 32215.

It is an arithmetic number, because the mean of its divisors is an integer number (21411432).

Almost surely, 2^444200020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513874368).

444200020 is an abundant number, since it is smaller than the sum of its proper divisors (583548716).

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

444200020 is a wasteful number, since it uses less digits than its factorization.

444200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20112 (or 20110 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 444200020 is about 21076.0532358409. The cubic root of 444200020 is about 763.0029046438.

Adding to 444200020 its reverse (20002444), we get a palindrome (464202464).

The spelling of 444200020 in words is "four hundred forty-four million, two hundred thousand, twenty".