416407 has 2 divisors, whose sum is σ = 416408. Its totient is φ = 416406.

The previous prime is 416401. The next prime is 416413. The reversal of 416407 is 704614.

It is a balanced prime because it is at equal distance from previous prime (416401) and next prime (416413).

It is a cyclic number.

It is not a de Polignac number, because 416407 - 2³ = 416399 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208203 + 208204.

It is an arithmetic number, because the mean of its divisors is an integer number (208204).

2⁴¹⁶⁴⁰⁷ is an apocalyptic number.

416407 is a deficient number, since it is larger than the sum of its proper divisors (1).

416407 is an equidigital number, since it uses as much as digits as its factorization.

416407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 416407 is about 645.2960560859. The cubic root of 416407 is about 74.6745602660.

The spelling of 416407 in words is "four hundred sixteen thousand, four hundred seven".