400429 has 2 divisors, whose sum is σ = 400430. Its totient is φ = 400428.

The previous prime is 400417. The next prime is 400441. The reversal of 400429 is 924004.

It is a balanced prime because it is at equal distance from previous prime (400417) and next prime (400441).

It can be written as a sum of positive squares in only one way, i.e., 362404 + 38025 = 602^2 + 195^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-400429 is a prime.

400429 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200214 + 200215.

It is an arithmetic number, because the mean of its divisors is an integer number (200215).

2⁴⁰⁰⁴²⁹ is an apocalyptic number.

It is an amenable number.

400429 is a deficient number, since it is larger than the sum of its proper divisors (1).

400429 is an equidigital number, since it uses as much as digits as its factorization.

400429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 400429 is about 632.7945954257. The cubic root of 400429 is about 73.7069613868.

The spelling of 400429 in words is "four hundred thousand, four hundred twenty-nine".