440361 has 12 divisors (see below), whose sum is σ = 643188. Its totient is φ = 290304.

The previous prime is 440347. The next prime is 440371. The reversal of 440361 is 163044.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 416025 = 156^2 + 645^2 .

It is not a de Polignac number, because 440361 - 2⁵ = 440329 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 440361.

It is not an unprimeable number, because it can be changed into a prime (440311) 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, 801 + ... + 1233.

It is an arithmetic number, because the mean of its divisors is an integer number (53599).

2⁴⁴⁰³⁶¹ is an apocalyptic number.

It is an amenable number.

440361 is a deficient number, since it is larger than the sum of its proper divisors (202827).

440361 is a wasteful number, since it uses less digits than its factorization.

440361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 549 counting only the distinct ones).

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

The square root of 440361 is about 663.5970162682. The cubic root of 440361 is about 76.0798445266.

The spelling of 440361 in words is "four hundred forty thousand, three hundred sixty-one".