4004442 has 48 divisors (see below), whose sum is σ = 9489480. Its totient is φ = 1213056.

The previous prime is 4004417. The next prime is 4004449. The reversal of 4004442 is 2444004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2752281 + 1252161 = 1659^2 + 1119^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4004449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25428 + ... + 25584.

Almost surely, 2^4004442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744740).

4004442 is an abundant number, since it is smaller than the sum of its proper divisors (5485038).

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

4004442 is a wasteful number, since it uses less digits than its factorization.

4004442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4004442 is about 2001.1101918685. The cubic root of 4004442 is about 158.7988437547.

Adding to 4004442 its reverse (2444004), we get a palindrome (6448446).

The spelling of 4004442 in words is "four million, four thousand, four hundred forty-two".