444288080 has 20 divisors (see below), whose sum is σ = 1032969972. Its totient is φ = 177715200.

The previous prime is 444288073. The next prime is 444288107. The reversal of 444288080 is 80882444.

It can be written as a sum of positive squares in 2 ways, for example, as 175721536 + 268566544 = 13256^2 + 16388^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2776721 + ... + 2776880.

Almost surely, 2^444288080 is an apocalyptic number.

444288080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444288080 is an abundant number, since it is smaller than the sum of its proper divisors (588681892).

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

444288080 is a wasteful number, since it uses less digits than its factorization.

444288080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553614 (or 5553608 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The square root of 444288080 is about 21078.1422331286. The cubic root of 444288080 is about 763.0533215680.

The spelling of 444288080 in words is "four hundred forty-four million, two hundred eighty-eight thousand, eighty".