456546 has 8 divisors (see below), whose sum is σ = 913104. Its totient is φ = 152180.

The previous prime is 456539. The next prime is 456553. The reversal of 456546 is 645654.

456546 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (456539) and next prime (456553).

It is a sphenic number, since it is the product of 3 distinct primes.

456546 is an admirable number.

It is an Ulam number.

It is an unprimeable number.

456546 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38040 + ... + 38051.

It is an arithmetic number, because the mean of its divisors is an integer number (114138).

2⁴⁵⁶⁵⁴⁶ is an apocalyptic number.

456546 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

456546 is a wasteful number, since it uses less digits than its factorization.

456546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76096.

The product of its digits is 14400, while the sum is 30.

The square root of 456546 is about 675.6818778094. The cubic root of 456546 is about 77.0007308639. Note that the first 3 decimals are identical.

The spelling of 456546 in words is "four hundred fifty-six thousand, five hundred forty-six".