4442400 has 108 divisors (see below), whose sum is σ = 15690402. Its totient is φ = 1182720.

The previous prime is 4442387. The next prime is 4442401. The reversal of 4442400 is 42444.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1971216 + 2471184 = 1404^2 + 1572^2 .

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 (4442401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6892 + ... + 7508.

Almost surely, 2^4442400 is an apocalyptic number.

4442400 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 4442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845201).

4442400 is an abundant number, since it is smaller than the sum of its proper divisors (11248002).

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

4442400 is a wasteful number, since it uses less digits than its factorization.

4442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 627 counting only the distinct ones).

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

The square root of 4442400 is about 2107.7001684300. The cubic root of 4442400 is about 164.3889242543.

Adding to 4442400 its reverse (42444), we get a palindrome (4484844).

The spelling of 4442400 in words is "four million, four hundred forty-two thousand, four hundred".