441341400 has 96 divisors (see below), whose sum is σ = 1385625600. Its totient is φ = 116188800.

The previous prime is 441341387. The next prime is 441341413. The reversal of 441341400 is 4143144.

It is an interprime number because it is at equal distance from previous prime (441341387) and next prime (441341413).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42745 + ... + 52055.

It is an arithmetic number, because the mean of its divisors is an integer number (14433600).

Almost surely, 2^441341400 is an apocalyptic number.

441341400 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 441341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692812800).

441341400 is an abundant number, since it is smaller than the sum of its proper divisors (944284200).

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

441341400 is a wasteful number, since it uses less digits than its factorization.

441341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9409 (or 9400 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 441341400 is about 21008.1269988545. The cubic root of 441341400 is about 761.3626293053.

Adding to 441341400 its reverse (4143144), we get a palindrome (445484544).

The spelling of 441341400 in words is "four hundred forty-one million, three hundred forty-one thousand, four hundred".