414333413 has 12 divisors (see below), whose sum is σ = 459607428. Its totient is φ = 373127040.

The previous prime is 414333379. The next prime is 414333421. The reversal of 414333413 is 314333414.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 122367844 + 291965569 = 11062^2 + 17087^2 .

It is not a de Polignac number, because 414333413 - 2¹⁶ = 414267877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414333113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22970 + ... + 36827.

It is an arithmetic number, because the mean of its divisors is an integer number (38300619).

Almost surely, 2^414333413 is an apocalyptic number.

It is an amenable number.

414333413 is a deficient number, since it is larger than the sum of its proper divisors (45274015).

414333413 is a wasteful number, since it uses less digits than its factorization.

414333413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59864 (or 59851 counting only the distinct ones).

The product of its digits is 5184, while the sum is 26.

The square root of 414333413 is about 20355.1814779432. The cubic root of 414333413 is about 745.5040134024.

Adding to 414333413 its reverse (314333414), we get a palindrome (728666827).

Subtracting from 414333413 its reverse (314333414), we obtain a palindrome (99999999).

The spelling of 414333413 in words is "four hundred fourteen million, three hundred thirty-three thousand, four hundred thirteen".