413242401 has 32 divisors (see below), whose sum is σ = 648990720. Its totient is φ = 230587200.

The previous prime is 413242393. The next prime is 413242421. The reversal of 413242401 is 104242314.

It is not a de Polignac number, because 413242401 - 2³ = 413242393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413242421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204486 + ... + 206496.

It is an arithmetic number, because the mean of its divisors is an integer number (20280960).

Almost surely, 2^413242401 is an apocalyptic number.

It is an amenable number.

413242401 is a deficient number, since it is larger than the sum of its proper divisors (235748319).

413242401 is a wasteful number, since it uses less digits than its factorization.

413242401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 413242401 is about 20328.3644447850. The cubic root of 413242401 is about 744.8490909446.

Adding to 413242401 its reverse (104242314), we get a palindrome (517484715).

The spelling of 413242401 in words is "four hundred thirteen million, two hundred forty-two thousand, four hundred one".