444448620 has 360 divisors, whose sum is σ = 1772804880. Its totient is φ = 92171520.

The previous prime is 444448607. The next prime is 444448621. The reversal of 444448620 is 26844444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444448621) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 872926 + ... + 873434.

It is an arithmetic number, because the mean of its divisors is an integer number (4924458).

Almost surely, 2^444448620 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 444448620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886402440).

444448620 is an abundant number, since it is smaller than the sum of its proper divisors (1328356260).

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

444448620 is a wasteful number, since it uses less digits than its factorization.

444448620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 444448620 is about 21081.9500995520. The cubic root of 444448620 is about 763.1452182704.

The spelling of 444448620 in words is "four hundred forty-four million, four hundred forty-eight thousand, six hundred twenty".