441085260 has 288 divisors, whose sum is σ = 1638185472. Its totient is φ = 87521280.

The previous prime is 441085259. The next prime is 441085313. The reversal of 441085260 is 62580144.

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, 743524 + ... + 744116.

It is an arithmetic number, because the mean of its divisors is an integer number (5688144).

Almost surely, 2^441085260 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 441085260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819092736).

441085260 is an abundant number, since it is smaller than the sum of its proper divisors (1197100212).

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

441085260 is a wasteful number, since it uses less digits than its factorization.

441085260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 441085260 is about 21002.0299018928. The cubic root of 441085260 is about 761.2153108780.

The spelling of 441085260 in words is "four hundred forty-one million, eighty-five thousand, two hundred sixty".