360441 has 12 divisors (see below), whose sum is σ = 538980. Its totient is φ = 231840.

The previous prime is 360439. The next prime is 360457. The reversal of 360441 is 144063.

It can be written as a sum of positive squares in 2 ways, for example, as 176400 + 184041 = 420^2 + 429^2 .

It is not a de Polignac number, because 360441 - 2¹ = 360439 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360441.

It is not an unprimeable number, because it can be changed into a prime (360421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (44915).

2³⁶⁰⁴⁴¹ is an apocalyptic number.

It is an amenable number.

360441 is a deficient number, since it is larger than the sum of its proper divisors (178539).

360441 is a wasteful number, since it uses less digits than its factorization.

360441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 360441 is about 600.3673875220. The cubic root of 360441 is about 71.1669021986.

The spelling of 360441 in words is "three hundred sixty thousand, four hundred forty-one".