456652 has 24 divisors (see below), whose sum is σ = 935424. Its totient is φ = 190992.

The previous prime is 456649. The next prime is 456653. The reversal of 456652 is 256654.

456652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 456652.

It is not an unprimeable number, because it can be changed into a prime (456653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143 + ... + 1489.

It is an arithmetic number, because the mean of its divisors is an integer number (38976).

2⁴⁵⁶⁶⁵² 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 456652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467712).

456652 is an abundant number, since it is smaller than the sum of its proper divisors (478772).

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

456652 is a wasteful number, since it uses less digits than its factorization.

456652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 456652 is about 675.7603125369. The cubic root of 456652 is about 77.0066896982.

The spelling of 456652 in words is "four hundred fifty-six thousand, six hundred fifty-two".