414001401 has 16 divisors (see below), whose sum is σ = 602562240. Its totient is φ = 250752320.

The previous prime is 414001397. The next prime is 414001411. The reversal of 414001401 is 104100414.

It is a cyclic number.

It is not a de Polignac number, because 414001401 - 2² = 414001397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414001411) 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, 70195 + ... + 75863.

It is an arithmetic number, because the mean of its divisors is an integer number (37660140).

Almost surely, 2^414001401 is an apocalyptic number.

It is an amenable number.

414001401 is a deficient number, since it is larger than the sum of its proper divisors (188560839).

414001401 is a wasteful number, since it uses less digits than its factorization.

414001401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7896.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 414001401 is about 20347.0243770434. The cubic root of 414001401 is about 745.3048320884.

Adding to 414001401 its reverse (104100414), we get a palindrome (518101815).

The spelling of 414001401 in words is "four hundred fourteen million, one thousand, four hundred one".