416401 has 2 divisors, whose sum is σ = 416402. Its totient is φ = 416400.

The previous prime is 416399. The next prime is 416407. The reversal of 416401 is 104614.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 358801 + 57600 = 599^2 + 240^2 .

It is a cyclic number.

It is not a de Polignac number, because 416401 - 2¹ = 416399 is a prime.

Together with 416399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (416407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208200 + 208201.

It is an arithmetic number, because the mean of its divisors is an integer number (208201).

2⁴¹⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

416401 is a deficient number, since it is larger than the sum of its proper divisors (1).

416401 is an equidigital number, since it uses as much as digits as its factorization.

416401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 416401 is about 645.2914070403. The cubic root of 416401 is about 74.6742016028.

The spelling of 416401 in words is "four hundred sixteen thousand, four hundred one".