441413200 has 30 divisors (see below), whose sum is σ = 1060496174. Its totient is φ = 176565120.

The previous prime is 441413197. The next prime is 441413213. The reversal of 441413200 is 2314144.

It can be written as a sum of positive squares in 3 ways, for example, as 70157376 + 371255824 = 8376^2 + 19268^2 .

It is a super-2 number, since 2×441413200² = 389691226268480000, which contains 22 as substring.

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, 551367 + ... + 552166.

Almost surely, 2^441413200 is an apocalyptic number.

441413200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441413200 is an abundant number, since it is smaller than the sum of its proper divisors (619082974).

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

441413200 is a wasteful number, since it uses less digits than its factorization.

441413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103551 (or 1103540 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 441413200 is about 21009.8357918381. The cubic root of 441413200 is about 761.4039147083.

Adding to 441413200 its reverse (2314144), we get a palindrome (443727344).

The spelling of 441413200 in words is "four hundred forty-one million, four hundred thirteen thousand, two hundred".