456666 has 32 divisors (see below), whose sum is σ = 1064448. Its totient is φ = 127920.

The previous prime is 456653. The next prime is 456679. The reversal of 456666 is 666654.

It is an interprime number because it is at equal distance from previous prime (456653) and next prime (456679).

456666 is a modest number, since divided by 666 gives 456 as remainder.

It is a plaindrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456666.

It is an unprimeable number.

456666 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 15 ways as a sum of consecutive naturals, for example, 3421 + ... + 3551.

It is an arithmetic number, because the mean of its divisors is an integer number (33264).

2⁴⁵⁶⁶⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532224).

456666 is an abundant number, since it is smaller than the sum of its proper divisors (607782).

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

456666 is a wasteful number, since it uses less digits than its factorization.

456666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226.

The product of its digits is 25920, while the sum is 33.

The square root of 456666 is about 675.7706711600. The cubic root of 456666 is about 77.0074766451.

The spelling of 456666 in words is "four hundred fifty-six thousand, six hundred sixty-six".