444496640 has 216 divisors, whose sum is σ = 1307219760. Its totient is φ = 143990784.

The previous prime is 444496607. The next prime is 444496649. The reversal of 444496640 is 46694444.

444496640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (444496649) 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, 1191494 + ... + 1191866.

Almost surely, 2^444496640 is an apocalyptic number.

444496640 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 444496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653609880).

444496640 is an abundant number, since it is smaller than the sum of its proper divisors (862723120).

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

444496640 is a wasteful number, since it uses less digits than its factorization.

444496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The square root of 444496640 is about 21083.0889577405. The cubic root of 444496640 is about 763.1727016974.

The spelling of 444496640 in words is "four hundred forty-four million, four hundred ninety-six thousand, six hundred forty".