441288120 has 384 divisors, whose sum is σ = 1737469440. Its totient is φ = 88704000.

The previous prime is 441288109. The next prime is 441288151. The reversal of 441288120 is 21882144.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1757995 + ... + 1758245.

It is an arithmetic number, because the mean of its divisors is an integer number (4524660).

Almost surely, 2^441288120 is an apocalyptic number.

441288120 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 441288120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868734720).

441288120 is an abundant number, since it is smaller than the sum of its proper divisors (1296181320).

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

441288120 is a wasteful number, since it uses less digits than its factorization.

441288120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 441288120 is about 21006.8588798992. The cubic root of 441288120 is about 761.3319901120.

The spelling of 441288120 in words is "four hundred forty-one million, two hundred eighty-eight thousand, one hundred twenty".