414001397 has 2 divisors, whose sum is σ = 414001398. Its totient is φ = 414001396.

The previous prime is 414001387. The next prime is 414001411. The reversal of 414001397 is 793100414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 362750116 + 51251281 = 19046^2 + 7159^2 .

It is a cyclic number.

It is not a de Polignac number, because 414001397 - 2¹⁶ = 413935861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414001387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207000698 + 207000699.

It is an arithmetic number, because the mean of its divisors is an integer number (207000699).

Almost surely, 2^414001397 is an apocalyptic number.

It is an amenable number.

414001397 is a deficient number, since it is larger than the sum of its proper divisors (1).

414001397 is an equidigital number, since it uses as much as digits as its factorization.

414001397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 414001397 is about 20347.0242787490. The cubic root of 414001397 is about 745.3048296881.

The spelling of 414001397 in words is "four hundred fourteen million, one thousand, three hundred ninety-seven".