444788960 has 192 divisors, whose sum is σ = 1329592320. Its totient is φ = 136581120.

The previous prime is 444788959. The next prime is 444789001. The reversal of 444788960 is 69887444.

444788960 = T₁₃₃₃₆ + T₁₃₃₃₇ + ... + T₁₃₃₄₀.

It is a junction number, because it is equal to n+sod(n) for n = 444788899 and 444788908.

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, 973052 + ... + 973508.

It is an arithmetic number, because the mean of its divisors is an integer number (6924960).

Almost surely, 2^444788960 is an apocalyptic number.

444788960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664796160).

444788960 is an abundant number, since it is smaller than the sum of its proper divisors (884803360).

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

444788960 is a wasteful number, since it uses less digits than its factorization.

444788960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The square root of 444788960 is about 21090.0203888000. The cubic root of 444788960 is about 763.3399633722.

The spelling of 444788960 in words is "four hundred forty-four million, seven hundred eighty-eight thousand, nine hundred sixty".