444406608 has 80 divisors (see below), whose sum is σ = 1293667200. Its totient is φ = 146039040.

The previous prime is 444406603. The next prime is 444406609. The reversal of 444406608 is 806604444.

444406608 is a `hidden beast` number, since 4 + 4 + 4 + 40 + 6 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444406603) 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, 23428 + ... + 37916.

It is an arithmetic number, because the mean of its divisors is an integer number (16170840).

Almost surely, 2^444406608 is an apocalyptic number.

444406608 is a gapful number since it is divisible by the number (48) 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 444406608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646833600).

444406608 is an abundant number, since it is smaller than the sum of its proper divisors (849260592).

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

444406608 is a wasteful number, since it uses less digits than its factorization.

444406608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14577 (or 14565 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 444406608 is about 21080.9536786171. The cubic root of 444406608 is about 763.1211717959.

The spelling of 444406608 in words is "four hundred forty-four million, four hundred six thousand, six hundred eight".