441345 has 8 divisors (see below), whose sum is σ = 706176. Its totient is φ = 235376.

The previous prime is 441319. The next prime is 441349. The reversal of 441345 is 543144.

441345 = 148² + 149² + ... + 165².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 441345 - 2⁶ = 441281 is a prime.

It is a d-powerful number, because it can be written as 4⁵ + 4⁵ + 3¹¹ + 1 + 4⁹ + 5 .

441345 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (441349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14697 + ... + 14726.

It is an arithmetic number, because the mean of its divisors is an integer number (88272).

It is a Proth number, since it is equal to 431 ⋅ 2¹⁰ + 1 and 431 < 2¹⁰.

2⁴⁴¹³⁴⁵ is an apocalyptic number.

It is an amenable number.

441345 is a deficient number, since it is larger than the sum of its proper divisors (264831).

441345 is a wasteful number, since it uses less digits than its factorization.

441345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29431.

The product of its digits is 960, while the sum is 21.

The square root of 441345 is about 664.3380163742. The cubic root of 441345 is about 76.1364699432.

Adding to 441345 its reverse (543144), we get a palindrome (984489).

The spelling of 441345 in words is "four hundred forty-one thousand, three hundred forty-five".