444285000 has 200 divisors, whose sum is σ = 1556431470. Its totient is φ = 118368000.

The previous prime is 444284993. The next prime is 444285001. The reversal of 444285000 is 582444.

It can be written as a sum of positive squares in 5 ways, for example, as 2916 + 444282084 = 54^2 + 21078^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×444285000² = 394778322450000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (444285001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 404452 + ... + 405548.

Almost surely, 2^444285000 is an apocalyptic number.

444285000 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 444285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778215735).

444285000 is an abundant number, since it is smaller than the sum of its proper divisors (1112146470).

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

444285000 is a wasteful number, since it uses less digits than its factorization.

444285000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 444285000 is about 21078.0691715347. The cubic root of 444285000 is about 763.0515582904.

The spelling of 444285000 in words is "four hundred forty-four million, two hundred eighty-five thousand".