444522816 has 168 divisors, whose sum is σ = 1339132704. Its totient is φ = 146188800.

The previous prime is 444522797. The next prime is 444522839. The reversal of 444522816 is 618225444.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1570611 + ... + 1570893.

It is an arithmetic number, because the mean of its divisors is an integer number (7971028).

Almost surely, 2^444522816 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 444522816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669566352).

444522816 is an abundant number, since it is smaller than the sum of its proper divisors (894609888).

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

444522816 is a wasteful number, since it uses less digits than its factorization.

444522816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 389 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 444522816 is about 21083.7097305005. The cubic root of 444522816 is about 763.1876822505.

It can be divided in two parts, 4445 and 22816, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 444522816 in words is "four hundred forty-four million, five hundred twenty-two thousand, eight hundred sixteen".