444590440 has 64 divisors (see below), whose sum is σ = 1158946560. Its totient is φ = 150336000.

The previous prime is 444590423. The next prime is 444590441. The reversal of 444590440 is 44095444.

It is a junction number, because it is equal to n+sod(n) for n = 444590396 and 444590405.

It is not an unprimeable number, because it can be changed into a prime (444590441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9565 + ... + 31315.

It is an arithmetic number, because the mean of its divisors is an integer number (18108540).

Almost surely, 2^444590440 is an apocalyptic number.

444590440 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 444590440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579473280).

444590440 is an abundant number, since it is smaller than the sum of its proper divisors (714356120).

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

444590440 is a wasteful number, since it uses less digits than its factorization.

444590440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21842 (or 21838 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 444590440 is about 21085.3133721081. The cubic root of 444590440 is about 763.2263808167.

The spelling of 444590440 in words is "four hundred forty-four million, five hundred ninety thousand, four hundred forty".