456214 has 16 divisors (see below), whose sum is σ = 758160. Its totient is φ = 204160.

The previous prime is 456193. The next prime is 456223. The reversal of 456214 is 412654.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

456214 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 7 ways as a sum of consecutive naturals, for example, 1842 + ... + 2074.

It is an arithmetic number, because the mean of its divisors is an integer number (47385).

2⁴⁵⁶²¹⁴ is an apocalyptic number.

456214 is a deficient number, since it is larger than the sum of its proper divisors (301946).

456214 is a wasteful number, since it uses less digits than its factorization.

456214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its digits is 960, while the sum is 22.

The square root of 456214 is about 675.4361553841. The cubic root of 456214 is about 76.9820613747.

Adding to 456214 its reverse (412654), we get a palindrome (868868).

The spelling of 456214 in words is "four hundred fifty-six thousand, two hundred fourteen".