400224413 has 2 divisors, whose sum is σ = 400224414. Its totient is φ = 400224412.

The previous prime is 400224397. The next prime is 400224427. The reversal of 400224413 is 314422004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 366607609 + 33616804 = 19147^2 + 5798^2 .

It is a cyclic number.

It is not a de Polignac number, because 400224413 - 2⁴ = 400224397 is a prime.

It is a super-3 number, since 3×400224413³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400224463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200112206 + 200112207.

It is an arithmetic number, because the mean of its divisors is an integer number (200112207).

Almost surely, 2^400224413 is an apocalyptic number.

It is an amenable number.

400224413 is a deficient number, since it is larger than the sum of its proper divisors (1).

400224413 is an equidigital number, since it uses as much as digits as its factorization.

400224413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 400224413 is about 20005.6095383270. The cubic root of 400224413 is about 736.9440647279.

Adding to 400224413 its reverse (314422004), we get a palindrome (714646417).

The spelling of 400224413 in words is "four hundred million, two hundred twenty-four thousand, four hundred thirteen".