441131200 has 84 divisors (see below), whose sum is σ = 1104092280. Its totient is φ = 173424640.

The previous prime is 441131183. The next prime is 441131213. The reversal of 441131200 is 2131144.

It is a super-2 number, since 2×441131200² = 389193471226880000, which contains 22 as substring.

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

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, 92064 + ... + 96736.

Almost surely, 2^441131200 is an apocalyptic number.

441131200 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 441131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552046140).

441131200 is an abundant number, since it is smaller than the sum of its proper divisors (662961080).

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

441131200 is a wasteful number, since it uses less digits than its factorization.

441131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 441131200 is about 21003.1235772206. The cubic root of 441131200 is about 761.2417373769.

Adding to 441131200 its reverse (2131144), we get a palindrome (443262344).

The spelling of 441131200 in words is "four hundred forty-one million, one hundred thirty-one thousand, two hundred".