444365040 has 160 divisors (see below), whose sum is σ = 1667036160. Its totient is φ = 95588352.

The previous prime is 444365039. The next prime is 444365071. The reversal of 444365040 is 40563444.

It is a super-3 number, since 3×444365040³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 444364989 and 444365007.

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, 20781 + ... + 36339.

It is an arithmetic number, because the mean of its divisors is an integer number (10418976).

Almost surely, 2^444365040 is an apocalyptic number.

444365040 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 444365040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833518080).

444365040 is an abundant number, since it is smaller than the sum of its proper divisors (1222671120).

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

444365040 is a wasteful number, since it uses less digits than its factorization.

444365040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15599 (or 15593 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 444365040 is about 21079.9677419108. The cubic root of 444365040 is about 763.0973779628.

The spelling of 444365040 in words is "four hundred forty-four million, three hundred sixty-five thousand, forty".