444174656 has 56 divisors (see below), whose sum is σ = 908304000. Its totient is φ = 215414784.

The previous prime is 444174629. The next prime is 444174697. The reversal of 444174656 is 656471444.

It is a super-2 number, since 2×444174656² = 394582250065436672, which contains 22 as substring.

It is a congruent number.

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, 297560 + ... + 299048.

Almost surely, 2^444174656 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 444174656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454152000).

444174656 is an abundant number, since it is smaller than the sum of its proper divisors (464129344).

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

444174656 is a wasteful number, since it uses less digits than its factorization.

444174656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1629 counting only the distinct ones).

The product of its digits is 322560, while the sum is 41.

The square root of 444174656 is about 21075.4515016879. The cubic root of 444174656 is about 762.9883817763.

It can be divided in two parts, 4441 and 74656, that added together give a palindrome (79097).

The spelling of 444174656 in words is "four hundred forty-four million, one hundred seventy-four thousand, six hundred fifty-six".