456816 has 40 divisors (see below), whose sum is σ = 1222144. Its totient is φ = 146880.

The previous prime is 456811. The next prime is 456821. The reversal of 456816 is 618654.

It is an interprime number because it is at equal distance from previous prime (456811) and next prime (456821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1335 + ... + 1641.

2⁴⁵⁶⁸¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611072).

456816 is an abundant number, since it is smaller than the sum of its proper divisors (765328).

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

456816 is a wasteful number, since it uses less digits than its factorization.

456816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 456816 is about 675.8816464441. The cubic root of 456816 is about 77.0159072100.

The spelling of 456816 in words is "four hundred fifty-six thousand, eight hundred sixteen".