444566640 has 160 divisors (see below), whose sum is σ = 1581327360. Its totient is φ = 101210112.

The previous prime is 444566627. The next prime is 444566653. The reversal of 444566640 is 46665444.

It is an interprime number because it is at equal distance from previous prime (444566627) and next prime (444566653).

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, 686797 + ... + 687443.

It is an arithmetic number, because the mean of its divisors is an integer number (9883296).

Almost surely, 2^444566640 is an apocalyptic number.

444566640 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 444566640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790663680).

444566640 is an abundant number, since it is smaller than the sum of its proper divisors (1136760720).

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

444566640 is a wasteful number, since it uses less digits than its factorization.

444566640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 444566640 is about 21084.7489906804. The cubic root of 444566640 is about 763.2127614566.

The spelling of 444566640 in words is "four hundred forty-four million, five hundred sixty-six thousand, six hundred forty".