414000401 has 8 divisors (see below), whose sum is σ = 416078208. Its totient is φ = 411928000.

The previous prime is 414000359. The next prime is 414000449. The reversal of 414000401 is 104000414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414000401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414000701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273236 + ... + 274746.

It is an arithmetic number, because the mean of its divisors is an integer number (52009776).

Almost surely, 2^414000401 is an apocalyptic number.

It is an amenable number.

414000401 is a deficient number, since it is larger than the sum of its proper divisors (2077807).

414000401 is a wasteful number, since it uses less digits than its factorization.

414000401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 414000401 is about 20346.9998034108. Note that the first 3 decimals coincide. The cubic root of 414000401 is about 745.3042320056.

Adding to 414000401 its reverse (104000414), we get a palindrome (518000815).

The spelling of 414000401 in words is "four hundred fourteen million, four hundred one", and thus it is an aban number.