457668 has 18 divisors (see below), whose sum is σ = 1156974. Its totient is φ = 152544.

The previous prime is 457661. The next prime is 457669. The reversal of 457668 is 866754.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 6084 = 672^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12713 = 457668 / (4 + 5 + 7 + 6 + 6 + 8).

It is a d-powerful number, because it can be written as 4⁸ + 5⁷ + 6⁴ + 7 + 6⁷ + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (457661) by changing a digit.

457668 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 5 ways as a sum of consecutive naturals, for example, 6321 + ... + 6392.

2⁴⁵⁷⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

457668 is an abundant number, since it is smaller than the sum of its proper divisors (699306).

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

457668 is a wasteful number, since it uses less digits than its factorization.

457668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12723 (or 12718 counting only the distinct ones).

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

The square root of 457668 is about 676.5116406981. The cubic root of 457668 is about 77.0637578406.

The spelling of 457668 in words is "four hundred fifty-seven thousand, six hundred sixty-eight".