224000413 has 18 divisors (see below), whose sum is σ = 281089914. Its totient is φ = 176932224.

The previous prime is 224000369. The next prime is 224000423. The reversal of 224000413 is 314000422.

It can be written as a sum of positive squares in 3 ways, for example, as 21279769 + 202720644 = 4613^2 + 14238^2 .

It is not a de Polignac number, because 224000413 - 2¹⁷ = 223869341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224000423) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 377445 + ... + 378037.

Almost surely, 2^224000413 is an apocalyptic number.

It is an amenable number.

224000413 is a deficient number, since it is larger than the sum of its proper divisors (57089501).

224000413 is an frugal number, since it uses more digits than its factorization.

224000413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 224000413 is about 14966.6433444510. The cubic root of 224000413 is about 607.3181676223.

Adding to 224000413 its reverse (314000422), we get a palindrome (538000835).

Subtracting 224000413 from its reverse (314000422), we obtain a palindrome (90000009).

The spelling of 224000413 in words is "two hundred twenty-four million, four hundred thirteen", and thus it is an aban number.