441233760 has 288 divisors, whose sum is σ = 1563722496. Its totient is φ = 104473600.

The previous prime is 441233729. The next prime is 441233761. The reversal of 441233760 is 67332144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441233761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4123627 + ... + 4123733.

It is an arithmetic number, because the mean of its divisors is an integer number (5429592).

Almost surely, 2^441233760 is an apocalyptic number.

441233760 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 441233760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781861248).

441233760 is an abundant number, since it is smaller than the sum of its proper divisors (1122488736).

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

441233760 is a wasteful number, since it uses less digits than its factorization.

441233760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 441233760 is about 21005.5649769293. The cubic root of 441233760 is about 761.3007273122.

The spelling of 441233760 in words is "four hundred forty-one million, two hundred thirty-three thousand, seven hundred sixty".