456216 has 16 divisors (see below), whose sum is σ = 1140600. Its totient is φ = 152064.

The previous prime is 456193. The next prime is 456223. The reversal of 456216 is 612654.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 19009 = 456216 / (4 + 5 + 6 + 2 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9481 + ... + 9528.

2⁴⁵⁶²¹⁶ is an apocalyptic number.

It is an amenable number.

456216 is an abundant number, since it is smaller than the sum of its proper divisors (684384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456216 is a wasteful number, since it uses less digits than its factorization.

456216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19018 (or 19014 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 456216 is about 675.4376359073. The cubic root of 456216 is about 76.9821738686.

The spelling of 456216 in words is "four hundred fifty-six thousand, two hundred sixteen".