456859 has 8 divisors (see below), whose sum is σ = 497952. Its totient is φ = 416640.

The previous prime is 456821. The next prime is 456871. The reversal of 456859 is 958654.

456859 is nontrivially palindromic in base 14.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456859 - 2¹³ = 448667 is a prime.

It is a super-3 number, since 3×456859³ = 286067031381143337, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (456809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1314 + ... + 1624.

It is an arithmetic number, because the mean of its divisors is an integer number (62244).

2⁴⁵⁶⁸⁵⁹ is an apocalyptic number.

456859 is a deficient number, since it is larger than the sum of its proper divisors (41093).

456859 is a wasteful number, since it uses less digits than its factorization.

456859 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437.

The product of its digits is 43200, while the sum is 37.

The square root of 456859 is about 675.9134559986. The cubic root of 456859 is about 77.0183236315.

The spelling of 456859 in words is "four hundred fifty-six thousand, eight hundred fifty-nine".