400144 has 20 divisors (see below), whose sum is σ = 786780. Its totient is φ = 197120.

The previous prime is 400123. The next prime is 400151. The reversal of 400144 is 441004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 169744 + 230400 = 412^2 + 480^2 .

It is an Ulam number.

400144 is a Rhonda number in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1284 + ... + 1564.

It is an arithmetic number, because the mean of its divisors is an integer number (39339).

2⁴⁰⁰¹⁴⁴ is an apocalyptic number.

It is an amenable number.

400144 is a deficient number, since it is larger than the sum of its proper divisors (386636).

400144 is a wasteful number, since it uses less digits than its factorization.

400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

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

The square root of 400144 is about 632.5693637855. The cubic root of 400144 is about 73.6894705876.

Adding to 400144 its reverse (441004), we get a palindrome (841148).

It can be divided in two parts, 400 and 144, that multiplied together give a square (57600 = 240²).

The spelling of 400144 in words is "four hundred thousand, one hundred forty-four", and thus it is an iban number.