456642 has 24 divisors (see below), whose sum is σ = 1033344. Its totient is φ = 145464.

The previous prime is 456641. The next prime is 456647. The reversal of 456642 is 246654.

It is a happy number.

456642 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 138 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (43056).

2⁴⁵⁶⁶⁴² is an apocalyptic number.

456642 is an abundant number, since it is smaller than the sum of its proper divisors (576702).

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

456642 is a wasteful number, since it uses less digits than its factorization.

456642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1131 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 456642 is about 675.7529134232. The cubic root of 456642 is about 77.0061275834.

The spelling of 456642 in words is "four hundred fifty-six thousand, six hundred forty-two".