441315 has 32 divisors (see below), whose sum is σ = 898560. Its totient is φ = 201312.

The previous prime is 441307. The next prime is 441319. The reversal of 441315 is 513144.

441315 = 171² + 172² + ... + 184².

It is a happy number.

It is not a de Polignac number, because 441315 - 2³ = 441307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (441319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 712 + ... + 1178.

It is an arithmetic number, because the mean of its divisors is an integer number (28080).

2⁴⁴¹³¹⁵ is an apocalyptic number.

441315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

441315 is an abundant number, since it is smaller than the sum of its proper divisors (457245).

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

441315 is a wasteful number, since it uses less digits than its factorization.

441315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 441315 is about 664.3154371231. The cubic root of 441315 is about 76.1347448031.

Adding to 441315 its reverse (513144), we get a palindrome (954459).

The spelling of 441315 in words is "four hundred forty-one thousand, three hundred fifteen".