400444 has 24 divisors (see below), whose sum is σ = 806400. Its totient is φ = 172080.

The previous prime is 400441. The next prime is 400457. The reversal of 400444 is 444004.

400444 is a modest number, since divided by 444 gives 400 as remainder.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400441) 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, 597 + ... + 1075.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2⁴⁰⁰⁴⁴⁴ is an apocalyptic number.

400444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400444 is an abundant number, since it is smaller than the sum of its proper divisors (405956).

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

400444 is a wasteful number, since it uses less digits than its factorization.

400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 400444 is about 632.8064475019. The cubic root of 400444 is about 73.7078817252.

Adding to 400444 its reverse (444004), we get a palindrome (844448).

The spelling of 400444 in words is "four hundred thousand, four hundred forty-four", and thus it is an iban number.