456648 has 32 divisors (see below), whose sum is σ = 1166400. Its totient is φ = 148928.

The previous prime is 456647. The next prime is 456649. The reversal of 456648 is 846654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (456647) and next prime (456649).

456648 is a modest number, since divided by 648 gives 456 as remainder.

It is not an unprimeable number, because it can be changed into a prime (456641) 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, 1093 + ... + 1451.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

2⁴⁵⁶⁶⁴⁸ 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 456648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583200).

456648 is an abundant number, since it is smaller than the sum of its proper divisors (709752).

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

456648 is a wasteful number, since it uses less digits than its factorization.

456648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 417 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 456648 is about 675.7573529012. The cubic root of 456648 is about 77.0064648533.

The spelling of 456648 in words is "four hundred fifty-six thousand, six hundred forty-eight".