444404840 has 96 divisors (see below), whose sum is σ = 1128206880. Its totient is φ = 156240000.

The previous prime is 444404839. The next prime is 444404843. The reversal of 444404840 is 48404444.

444404840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 444404797 and 444404806.

It is not an unprimeable number, because it can be changed into a prime (444404843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422315 + ... + 423365.

It is an arithmetic number, because the mean of its divisors is an integer number (11752155).

Almost surely, 2^444404840 is an apocalyptic number.

444404840 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 444404840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564103440).

444404840 is an abundant number, since it is smaller than the sum of its proper divisors (683802040).

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

444404840 is a wasteful number, since it uses less digits than its factorization.

444404840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The square root of 444404840 is about 21080.9117449886. The cubic root of 444404840 is about 763.1201598097.

The spelling of 444404840 in words is "four hundred forty-four million, four hundred four thousand, eight hundred forty".