441144400 has 30 divisors (see below), whose sum is σ = 1059850382. Its totient is φ = 176457600.

The previous prime is 441144359. The next prime is 441144421. The reversal of 441144400 is 4441144.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 151191616 + 289952784 = 12296^2 + 17028^2 .

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 551031 + ... + 551830.

Almost surely, 2^441144400 is an apocalyptic number.

441144400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441144400 is an abundant number, since it is smaller than the sum of its proper divisors (618705982).

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

441144400 is a wasteful number, since it uses less digits than its factorization.

441144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102879 (or 1102868 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 441144400 is about 21003.4378138437. The cubic root of 441144400 is about 761.2493301979.

Adding to 441144400 its reverse (4441144), we get a palindrome (445585544).

It can be divided in two parts, 441 and 144400, that multiplied together give a square (63680400 = 7980²).

The spelling of 441144400 in words is "four hundred forty-one million, one hundred forty-four thousand, four hundred".