444488435520 has 448 divisors, whose sum is σ = 1538355836160. Its totient is φ = 108281069568.

The previous prime is 444488435467. The next prime is 444488435527. The reversal of 444488435520 is 25534884444.

It is a super-2 number, since 2×444488435520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444488435527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397930002 + ... + 397931118.

Almost surely, 2^444488435520 is an apocalyptic number.

444488435520 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 444488435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769177918080).

444488435520 is an abundant number, since it is smaller than the sum of its proper divisors (1093867400640).

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

444488435520 is a wasteful number, since it uses less digits than its factorization.

444488435520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 51.

The spelling of 444488435520 in words is "four hundred forty-four billion, four hundred eighty-eight million, four hundred thirty-five thousand, five hundred twenty".