457688 has 32 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 178080.

The previous prime is 457687. The next prime is 457697. The reversal of 457688 is 886754.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 457688.

It is not an unprimeable number, because it can be changed into a prime (457687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2⁴⁵⁷⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

457688 is an abundant number, since it is smaller than the sum of its proper divisors (613672).

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

457688 is a wasteful number, since it uses less digits than its factorization.

457688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 763 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 457688 is about 676.5264222482. The cubic root of 457688 is about 77.0648803812.

It can be divided in two parts, 4576 and 88, that added together give a palindrome (4664).

The spelling of 457688 in words is "four hundred fifty-seven thousand, six hundred eighty-eight".