123400413 has 12 divisors (see below), whose sum is σ = 178593948. Its totient is φ = 82105920.

The previous prime is 123400397. The next prime is 123400463. The reversal of 123400413 is 314004321.

It can be written as a sum of positive squares in 2 ways, for example, as 57108249 + 66292164 = 7557^2 + 8142^2 .

It is not a de Polignac number, because 123400413 - 2⁴ = 123400397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123400463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8470 + ... + 17847.

It is an arithmetic number, because the mean of its divisors is an integer number (14882829).

Almost surely, 2^123400413 is an apocalyptic number.

It is an amenable number.

123400413 is a deficient number, since it is larger than the sum of its proper divisors (55193535).

123400413 is a wasteful number, since it uses less digits than its factorization.

123400413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26844 (or 26841 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 123400413 is about 11108.5738508595. The cubic root of 123400413 is about 497.8580545757.

Adding to 123400413 its reverse (314004321), we get a palindrome (437404734).

The spelling of 123400413 in words is "one hundred twenty-three million, four hundred thousand, four hundred thirteen".