456873 has 8 divisors (see below), whose sum is σ = 618528. Its totient is φ = 299904.

The previous prime is 456871. The next prime is 456877. The reversal of 456873 is 378654.

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

It is not a de Polignac number, because 456873 - 2¹ = 456871 is a prime.

It is a super-3 number, since 3×456873³ = 286093330925431851, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (456871) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 936 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (77316).

2⁴⁵⁶⁸⁷³ is an apocalyptic number.

It is an amenable number.

456873 is a deficient number, since it is larger than the sum of its proper divisors (161655).

456873 is a wasteful number, since it uses less digits than its factorization.

456873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343.

The product of its digits is 20160, while the sum is 33.

The square root of 456873 is about 675.9238122747. The cubic root of 456873 is about 77.0191103407.

The spelling of 456873 in words is "four hundred fifty-six thousand, eight hundred seventy-three".