456830 has 16 divisors (see below), whose sum is σ = 897264. Its totient is φ = 166080.

The previous prime is 456821. The next prime is 456871. The reversal of 456830 is 38654.

It is a self number, because there is not a number n which added to its sum of digits gives 456830.

It is a congruent number.

It is an unprimeable number.

456830 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1967 + ... + 2186.

It is an arithmetic number, because the mean of its divisors is an integer number (56079).

2⁴⁵⁶⁸³⁰ is an apocalyptic number.

456830 is a deficient number, since it is larger than the sum of its proper divisors (440434).

456830 is a wasteful number, since it uses less digits than its factorization.

456830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 456830 is about 675.8920032076. The cubic root of 456830 is about 77.0166939685.

The spelling of 456830 in words is "four hundred fifty-six thousand, eight hundred thirty".