416849 has 2 divisors, whose sum is σ = 416850. Its totient is φ = 416848.

The previous prime is 416839. The next prime is 416851. The reversal of 416849 is 948614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 368449 + 48400 = 607^2 + 220^2 .

It is a cyclic number.

It is not a de Polignac number, because 416849 - 2⁴ = 416833 is a prime.

It is a super-4 number, since 4×416849⁴ (a number of 24 digits) contains 4444 as substring.

Together with 416851, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (416839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208424 + 208425.

It is an arithmetic number, because the mean of its divisors is an integer number (208425).

2⁴¹⁶⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

416849 is a deficient number, since it is larger than the sum of its proper divisors (1).

416849 is an equidigital number, since it uses as much as digits as its factorization.

416849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 32.

The square root of 416849 is about 645.6384437129. The cubic root of 416849 is about 74.7009723134.

The spelling of 416849 in words is "four hundred sixteen thousand, eight hundred forty-nine".