457866 has 32 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 149040.

The previous prime is 457837. The next prime is 457871. The reversal of 457866 is 668754.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 457866.

It is an unprimeable number.

457866 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3225 + ... + 3363.

It is an arithmetic number, because the mean of its divisors is an integer number (32550).

2⁴⁵⁷⁸⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800).

457866 is an abundant number, since it is smaller than the sum of its proper divisors (583734).

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

457866 is a wasteful number, since it uses less digits than its factorization.

457866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 457866 is about 676.6579638192. The cubic root of 457866 is about 77.0748695520.

The spelling of 457866 in words is "four hundred fifty-seven thousand, eight hundred sixty-six".