444460020 has 96 divisors (see below), whose sum is σ = 1300561920. Its totient is φ = 113278080.

The previous prime is 444460013. The next prime is 444460033. The reversal of 444460020 is 20064444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152941 + ... + 155819.

It is an arithmetic number, because the mean of its divisors is an integer number (13547520).

Almost surely, 2^444460020 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 444460020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650280960).

444460020 is an abundant number, since it is smaller than the sum of its proper divisors (856101900).

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

444460020 is a wasteful number, since it uses less digits than its factorization.

444460020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 444460020 is about 21082.2204712881. The cubic root of 444460020 is about 763.1517430449.

The spelling of 444460020 in words is "four hundred forty-four million, four hundred sixty thousand, twenty".