441461580 has 192 divisors, whose sum is σ = 1518720000. Its totient is φ = 95510016.

The previous prime is 441461551. The next prime is 441461591. The reversal of 441461580 is 85164144.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390456 + ... + 391584.

It is an arithmetic number, because the mean of its divisors is an integer number (7910000).

Almost surely, 2^441461580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441461580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759360000).

441461580 is an abundant number, since it is smaller than the sum of its proper divisors (1077258420).

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

441461580 is a wasteful number, since it uses less digits than its factorization.

441461580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 441461580 is about 21010.9871257873. The cubic root of 441461580 is about 761.4317309552.

The spelling of 441461580 in words is "four hundred forty-one million, four hundred sixty-one thousand, five hundred eighty".