414131001 has 16 divisors (see below), whose sum is σ = 560867328. Its totient is φ = 271754000.

The previous prime is 414130963. The next prime is 414131009. The reversal of 414131001 is 100131414.

It is a cyclic number.

It is not a de Polignac number, because 414131001 - 2¹⁰ = 414129977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414131009) 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, 174976 + ... + 177326.

It is an arithmetic number, because the mean of its divisors is an integer number (35054208).

Almost surely, 2^414131001 is an apocalyptic number.

It is an amenable number.

414131001 is a deficient number, since it is larger than the sum of its proper divisors (146736327).

414131001 is a wasteful number, since it uses less digits than its factorization.

414131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 414131001 is about 20350.2088687070. The cubic root of 414131001 is about 745.3825946505.

Adding to 414131001 its reverse (100131414), we get a palindrome (514262415).

The spelling of 414131001 in words is "four hundred fourteen million, one hundred thirty-one thousand, one".