441840400 has 45 divisors (see below), whose sum is σ = 1062532533. Its totient is φ = 176568000.

The previous prime is 441840361. The next prime is 441840401. The reversal of 441840400 is 4048144.

It is a happy number.

The square root of 441840400 is 21020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 159062544 + 282777856 = 12612^2 + 16816^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441840401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 419875 + ... + 420925.

Almost surely, 2^441840400 is an apocalyptic number.

441840400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

441840400 is the 21020-th square number.

It is an amenable number.

441840400 is an abundant number, since it is smaller than the sum of its proper divisors (620692133).

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

441840400 is an equidigital number, since it uses as much as digits as its factorization.

441840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The cubic root of 441840400 is about 761.6494645891.

Multiplying 441840400 by its sum of digits (25), we get a square (11046010000 = 105100²).

441840400 divided by its sum of digits (25) gives a square (17673616 = 4204²).

Adding to 441840400 its reverse (4048144), we get a palindrome (445888544).

The spelling of 441840400 in words is "four hundred forty-one million, eight hundred forty thousand, four hundred".