456229 has 8 divisors (see below), whose sum is σ = 494208. Its totient is φ = 419520.

The previous prime is 456223. The next prime is 456233. The reversal of 456229 is 922654.

456229 = T₅₅₀ + T₅₅₁ + T₅₅₂.

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

It is a cyclic number.

It is not a de Polignac number, because 456229 - 2⁹ = 455717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456197 and 456206.

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, 514 + ... + 1084.

It is an arithmetic number, because the mean of its divisors is an integer number (61776).

2⁴⁵⁶²²⁹ is an apocalyptic number.

456229 is the 552-nd centered triangular number.

It is an amenable number.

456229 is a deficient number, since it is larger than the sum of its proper divisors (37979).

456229 is a wasteful number, since it uses less digits than its factorization.

456229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635.

The product of its digits is 4320, while the sum is 28.

The square root of 456229 is about 675.4472592290. The cubic root of 456229 is about 76.9829050710.

The spelling of 456229 in words is "four hundred fifty-six thousand, two hundred twenty-nine".