4442000 has 40 divisors (see below), whose sum is σ = 10745592. Its totient is φ = 1776000.

The previous prime is 4441999. The next prime is 4442003. The reversal of 4442000 is 2444.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 4376464 = 256^2 + 2092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (4442003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 890 + ... + 3110.

Almost surely, 2^4442000 is an apocalyptic number.

4442000 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 4442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372796).

4442000 is an abundant number, since it is smaller than the sum of its proper divisors (6303592).

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

4442000 is a wasteful number, since it uses less digits than its factorization.

4442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4442000 is about 2107.6052761369. The cubic root of 4442000 is about 164.3839901688.

Adding to 4442000 its reverse (2444), we get a palindrome (4444444).

The spelling of 4442000 in words is "four million, four hundred forty-two thousand".