400424 has 8 divisors (see below), whose sum is σ = 750810. Its totient is φ = 200208.

The previous prime is 400417. The next prime is 400429. The reversal of 400424 is 424004.

400424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 232324 + 168100 = 482^2 + 410^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 400399 and 400408.

It is not an unprimeable number, because it can be changed into a prime (400429) by changing a digit.

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 as a sum of consecutive naturals, namely, 25019 + ... + 25034.

2⁴⁰⁰⁴²⁴ is an apocalyptic number.

It is an amenable number.

400424 is a deficient number, since it is larger than the sum of its proper divisors (350386).

400424 is a wasteful number, since it uses less digits than its factorization.

400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50059 (or 50055 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 400424 is about 632.7906446843. The cubic root of 400424 is about 73.7066546022.

Adding to 400424 its reverse (424004), we get a palindrome (824428).

The spelling of 400424 in words is "four hundred thousand, four hundred twenty-four", and thus it is an iban number.