413344001 has 16 divisors (see below), whose sum is σ = 512386560. Its totient is φ = 325317120.

The previous prime is 413343961. The next prime is 413344007. The reversal of 413344001 is 100443314.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 413344001 - 2¹⁰ = 413342977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413344007) 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, 37481 + ... + 47238.

It is an arithmetic number, because the mean of its divisors is an integer number (32024160).

Almost surely, 2^413344001 is an apocalyptic number.

413344001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

413344001 is a deficient number, since it is larger than the sum of its proper divisors (99042559).

413344001 is a wasteful number, since it uses less digits than its factorization.

413344001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84784.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 413344001 is about 20330.8632625376. The cubic root of 413344001 is about 744.9101289426.

Adding to 413344001 its reverse (100443314), we get a palindrome (513787315).

The spelling of 413344001 in words is "four hundred thirteen million, three hundred forty-four thousand, one".