441864000 has 504 divisors, whose sum is σ = 1766319048. Its totient is φ = 105062400.

The previous prime is 441863959. The next prime is 441864023. The reversal of 441864000 is 468144.

441864000 is a `hidden beast` number, since 4 + 4 + 18 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1871424 + 439992576 = 1368^2 + 20976^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23255991 + ... + 23256009.

Almost surely, 2^441864000 is an apocalyptic number.

441864000 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 441864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883159524).

441864000 is an abundant number, since it is smaller than the sum of its proper divisors (1324455048).

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

441864000 is a wasteful number, since it uses less digits than its factorization.

441864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 441864000 is about 21020.5613626278. The cubic root of 441864000 is about 761.6630249964.

The spelling of 441864000 in words is "four hundred forty-one million, eight hundred sixty-four thousand".