441895680 has 216 divisors, whose sum is σ = 1549679040. Its totient is φ = 116244480.

The previous prime is 441895667. The next prime is 441895681. The reversal of 441895680 is 86598144.

441895680 is a `hidden beast` number, since 4 + 4 + 1 + 89 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441895681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1025065 + ... + 1025495.

It is an arithmetic number, because the mean of its divisors is an integer number (7174440).

Almost surely, 2^441895680 is an apocalyptic number.

441895680 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 441895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774839520).

441895680 is an abundant number, since it is smaller than the sum of its proper divisors (1107783360).

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

441895680 is a wasteful number, since it uses less digits than its factorization.

441895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 441895680 is about 21021.3148970277. The cubic root of 441895680 is about 761.6812273603.

The spelling of 441895680 in words is "four hundred forty-one million, eight hundred ninety-five thousand, six hundred eighty".