441090 has 72 divisors (see below), whose sum is σ = 1284660. Its totient is φ = 104832.

The previous prime is 441079. The next prime is 441101. The reversal of 441090 is 90144.

It is an interprime number because it is at equal distance from previous prime (441079) and next prime (441101).

It can be written as a sum of positive squares in 6 ways, for example, as 47961 + 393129 = 219^2 + 627^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

441090 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15196 + ... + 15224.

2⁴⁴¹⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642330).

441090 is an abundant number, since it is smaller than the sum of its proper divisors (843570).

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

441090 is a wasteful number, since it uses less digits than its factorization.

441090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 441090 is about 664.1460682711. The cubic root of 441090 is about 76.1218037598.

It can be divided in two parts, 4410 and 90, that multiplied together give a square (396900 = 630²).

The spelling of 441090 in words is "four hundred forty-one thousand, ninety".