4440400 has 60 divisors (see below), whose sum is σ = 11312892. Its totient is φ = 1669120.

The previous prime is 4440389. The next prime is 4440413. The reversal of 4440400 is 40444.

It can be written as a sum of positive squares in 6 ways, for example, as 80656 + 4359744 = 284^2 + 2088^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6474 + ... + 7126.

Almost surely, 2^4440400 is an apocalyptic number.

4440400 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 4440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656446).

4440400 is an abundant number, since it is smaller than the sum of its proper divisors (6872492).

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

4440400 is a wasteful number, since it uses less digits than its factorization.

4440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4440400 is about 2107.2256642325. The cubic root of 4440400 is about 164.3642508645.

Adding to 4440400 its reverse (40444), we get a palindrome (4480844).

The spelling of 4440400 in words is "four million, four hundred forty thousand, four hundred".