456858 has 24 divisors (see below), whose sum is σ = 1048788. Its totient is φ = 143232.

The previous prime is 456821. The next prime is 456871. The reversal of 456858 is 858654.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 400689 + 56169 = 633^2 + 237^2 .

It is an unprimeable number.

456858 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 441 + ... + 1052.

2⁴⁵⁶⁸⁵⁸ is an apocalyptic number.

456858 is an abundant number, since it is smaller than the sum of its proper divisors (591930).

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

456858 is a wasteful number, since it uses less digits than its factorization.

456858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1515 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 456858 is about 675.9127162585. The cubic root of 456858 is about 77.0182674374.

It can be divided in two parts, 45 and 6858, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 456858 in words is "four hundred fifty-six thousand, eight hundred fifty-eight".