444366000 has 400 divisors, whose sum is σ = 1736743008. Its totient is φ = 108864000.

The previous prime is 444365989. The next prime is 444366001. The reversal of 444366000 is 663444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×444366000² = 394922283912000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444366001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2105895 + ... + 2106105.

Almost surely, 2^444366000 is an apocalyptic number.

444366000 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 444366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868371504).

444366000 is an abundant number, since it is smaller than the sum of its proper divisors (1292377008).

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

444366000 is a wasteful number, since it uses less digits than its factorization.

444366000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 444366000 is about 21079.9905123318. The cubic root of 444366000 is about 763.0979274907.

The spelling of 444366000 in words is "four hundred forty-four million, three hundred sixty-six thousand".