456213 has 8 divisors (see below), whose sum is σ = 611776. Its totient is φ = 302400.

The previous prime is 456193. The next prime is 456223. The reversal of 456213 is 312654.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 456213 - 2⁶ = 456149 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456223) 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 in 7 ways as a sum of consecutive naturals, for example, 408 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (76472).

2⁴⁵⁶²¹³ is an apocalyptic number.

It is an amenable number.

456213 is a deficient number, since it is larger than the sum of its proper divisors (155563).

456213 is a wasteful number, since it uses less digits than its factorization.

456213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875.

The product of its digits is 720, while the sum is 21.

The square root of 456213 is about 675.4354151212. The cubic root of 456213 is about 76.9820051276.

Adding to 456213 its reverse (312654), we get a palindrome (768867).

The spelling of 456213 in words is "four hundred fifty-six thousand, two hundred thirteen".