441868800 has 240 divisors, whose sum is σ = 1503957312. Its totient is φ = 114278400.

The previous prime is 441868789. The next prime is 441868829. The reversal of 441868800 is 8868144.

It is a tau number, because it is divible by the number of its divisors (240).

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, 1420645 + ... + 1420955.

Almost surely, 2^441868800 is an apocalyptic number.

441868800 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 441868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751978656).

441868800 is an abundant number, since it is smaller than the sum of its proper divisors (1062088512).

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

441868800 is a wasteful number, since it uses less digits than its factorization.

441868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 441868800 is about 21020.6755362429. The cubic root of 441868800 is about 761.6657829863.

The spelling of 441868800 in words is "four hundred forty-one million, eight hundred sixty-eight thousand, eight hundred".