413414401 has 4 divisors (see below), whose sum is σ = 427670100. Its totient is φ = 399158704.

The previous prime is 413414389. The next prime is 413414411. The reversal of 413414401 is 104414314.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 104414314 = 2 ⋅52207157.

It can be written as a sum of positive squares in 2 ways, for example, as 274763776 + 138650625 = 16576^2 + 11775^2 .

It is a cyclic number.

It is not a de Polignac number, because 413414401 - 2⁷ = 413414273 is a prime.

It is a super-2 number, since 2×413414401² = 341822933908377602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413414411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7127806 + ... + 7127863.

It is an arithmetic number, because the mean of its divisors is an integer number (106917525).

Almost surely, 2^413414401 is an apocalyptic number.

It is an amenable number.

413414401 is a deficient number, since it is larger than the sum of its proper divisors (14255699).

413414401 is a wasteful number, since it uses less digits than its factorization.

413414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14255698.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 413414401 is about 20332.5945466878. The cubic root of 413414401 is about 744.9524171222.

Adding to 413414401 its reverse (104414314), we get a palindrome (517828715).

The spelling of 413414401 in words is "four hundred thirteen million, four hundred fourteen thousand, four hundred one".