413514321 has 16 divisors (see below), whose sum is σ = 612826560. Its totient is φ = 245885120.

The previous prime is 413514317. The next prime is 413514337. The reversal of 413514321 is 123415314.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 413514321 - 2² = 413514317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413514291 and 413514300.

It is not an unprimeable number, because it can be changed into a prime (413514371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116466 + ... + 119963.

It is an arithmetic number, because the mean of its divisors is an integer number (38301660).

Almost surely, 2^413514321 is an apocalyptic number.

It is an amenable number.

413514321 is a deficient number, since it is larger than the sum of its proper divisors (199312239).

413514321 is a wasteful number, since it uses less digits than its factorization.

413514321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236496.

The product of its digits is 1440, while the sum is 24.

The square root of 413514321 is about 20335.0515366940. The cubic root of 413514321 is about 745.0124292628.

Adding to 413514321 its reverse (123415314), we get a palindrome (536929635).

The spelling of 413514321 in words is "four hundred thirteen million, five hundred fourteen thousand, three hundred twenty-one".