4400800 has 36 divisors (see below), whose sum is σ = 10745406. Its totient is φ = 1760000.

The previous prime is 4400777. The next prime is 4400801. The reversal of 4400800 is 80044.

It can be written as a sum of positive squares in 3 ways, for example, as 4210704 + 190096 = 2052^2 + 436^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4400801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1951 + ... + 3550.

Almost surely, 2^4400800 is an apocalyptic number.

4400800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400800 is an abundant number, since it is smaller than the sum of its proper divisors (6344606).

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

4400800 is a wasteful number, since it uses less digits than its factorization.

4400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5521 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4400800 is about 2097.8083801911. The cubic root of 4400800 is about 163.8741846852.

Adding to 4400800 its reverse (80044), we get a palindrome (4480844).

The spelling of 4400800 in words is "four million, four hundred thousand, eight hundred".