441211680 has 648 divisors, whose sum is σ = 1947801492. Its totient is φ = 90574848.

The previous prime is 441211669. The next prime is 441211681. The reversal of 441211680 is 86112144.

It is a happy number.

441211680 is a `hidden beast` number, since 441 + 211 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 121088016 + 320123664 = 11004^2 + 17892^2 .

It is not an unprimeable number, because it can be changed into a prime (441211681) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11924622 + ... + 11924658.

Almost surely, 2^441211680 is an apocalyptic number.

441211680 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 441211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973900746).

441211680 is an abundant number, since it is smaller than the sum of its proper divisors (1506589812).

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

441211680 is a wasteful number, since it uses less digits than its factorization.

441211680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 441211680 is about 21005.0393953451. The cubic root of 441211680 is about 761.2880282231.

The spelling of 441211680 in words is "four hundred forty-one million, two hundred eleven thousand, six hundred eighty".