441727440 has 480 divisors, whose sum is σ = 1795385088. Its totient is φ = 87859200.

The previous prime is 441727421. The next prime is 441727471. The reversal of 441727440 is 44727144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8334454 + ... + 8334506.

Almost surely, 2^441727440 is an apocalyptic number.

441727440 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 441727440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897692544).

441727440 is an abundant number, since it is smaller than the sum of its proper divisors (1353657648).

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

441727440 is a wasteful number, since it uses less digits than its factorization.

441727440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 33.

The square root of 441727440 is about 21017.3128634466. The cubic root of 441727440 is about 761.5845518163.

The spelling of 441727440 in words is "four hundred forty-one million, seven hundred twenty-seven thousand, four hundred forty".