400441 has 2 divisors, whose sum is σ = 400442. Its totient is φ = 400440.

The previous prime is 400429. The next prime is 400457. The reversal of 400441 is 144004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308025 + 92416 = 555^2 + 304^2 .

It is a cyclic number.

It is not a de Polignac number, because 400441 - 2⁵ = 400409 is a prime.

It is a Chen prime.

400441 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (400471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200220 + 200221.

It is an arithmetic number, because the mean of its divisors is an integer number (200221).

2⁴⁰⁰⁴⁴¹ is an apocalyptic number.

It is an amenable number.

400441 is a deficient number, since it is larger than the sum of its proper divisors (1).

400441 is an equidigital number, since it uses as much as digits as its factorization.

400441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 400441 is about 632.8040771044. The cubic root of 400441 is about 73.7076976594.

Adding to 400441 its reverse (144004), we get a palindrome (544445).

It can be divided in two parts, 400 and 441, that multiplied together give a square (176400 = 420²).

The spelling of 400441 in words is "four hundred thousand, four hundred forty-one", and thus it is an iban number.