468657 has 24 divisors (see below), whose sum is σ = 796224. Its totient is φ = 260064.

The previous prime is 468653. The next prime is 468661. The reversal of 468657 is 756864.

It is a happy number.

468657 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (468653) and next prime (468661).

It is not a de Polignac number, because 468657 - 2² = 468653 is a prime.

468657 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (468653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2623 + ... + 2795.

It is an arithmetic number, because the mean of its divisors is an integer number (33176).

2⁴⁶⁸⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

468657 is a deficient number, since it is larger than the sum of its proper divisors (327567).

468657 is a wasteful number, since it uses less digits than its factorization.

468657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 226 counting only the distinct ones).

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

The square root of 468657 is about 684.5852759153. The cubic root of 468657 is about 77.6756750180.

The spelling of 468657 in words is "four hundred sixty-eight thousand, six hundred fifty-seven".