444778080 has 192 divisors, whose sum is σ = 1470099456. Its totient is φ = 112896000.

The previous prime is 444778079. The next prime is 444778091. The reversal of 444778080 is 80877444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1056270 + ... + 1056690.

It is an arithmetic number, because the mean of its divisors is an integer number (7656768).

Almost surely, 2^444778080 is an apocalyptic number.

444778080 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 444778080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735049728).

444778080 is an abundant number, since it is smaller than the sum of its proper divisors (1025321376).

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

444778080 is a wasteful number, since it uses less digits than its factorization.

444778080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 444778080 is about 21089.7624453193. The cubic root of 444778080 is about 763.3337392920. Note that the first 3 decimals are identical.

The spelling of 444778080 in words is "four hundred forty-four million, seven hundred seventy-eight thousand, eighty".