414130401 has 40 divisors (see below), whose sum is σ = 630330624. Its totient is φ = 270928800.

The previous prime is 414130397. The next prime is 414130447. The reversal of 414130401 is 104031414.

It is not a de Polignac number, because 414130401 - 2² = 414130397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414130481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1824250 + ... + 1824476.

Almost surely, 2^414130401 is an apocalyptic number.

It is an amenable number.

414130401 is a deficient number, since it is larger than the sum of its proper divisors (216200223).

414130401 is a wasteful number, since it uses less digits than its factorization.

414130401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 414130401 is about 20350.1941268382. The cubic root of 414130401 is about 745.3822346760.

Adding to 414130401 its reverse (104031414), we get a palindrome (518161815).

The spelling of 414130401 in words is "four hundred fourteen million, one hundred thirty thousand, four hundred one".