444405780 has 216 divisors, whose sum is σ = 1669030272. Its totient is φ = 93719808.

The previous prime is 444405769. The next prime is 444405803. The reversal of 444405780 is 87504444.

444405780 is a `hidden beast` number, since 4 + 44 + 40 + 578 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 211897 + ... + 213983.

It is an arithmetic number, because the mean of its divisors is an integer number (7726992).

Almost surely, 2^444405780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444405780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834515136).

444405780 is an abundant number, since it is smaller than the sum of its proper divisors (1224624492).

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

444405780 is a wasteful number, since it uses less digits than its factorization.

444405780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 444405780 is about 21080.9340400277. The cubic root of 444405780 is about 763.1206978570.

The spelling of 444405780 in words is "four hundred forty-four million, four hundred five thousand, seven hundred eighty".