456790 has 16 divisors (see below), whose sum is σ = 870912. Its totient is φ = 171904.

The previous prime is 456769. The next prime is 456791. The reversal of 456790 is 97654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456791) by changing a digit.

456790 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 7 ways as a sum of consecutive naturals, for example, 1174 + ... + 1513.

It is an arithmetic number, because the mean of its divisors is an integer number (54432).

2⁴⁵⁶⁷⁹⁰ is an apocalyptic number.

456790 is a deficient number, since it is larger than the sum of its proper divisors (414122).

456790 is a wasteful number, since it uses less digits than its factorization.

456790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 456790 is about 675.8624120337. The cubic root of 456790 is about 77.0144460443.

The spelling of 456790 in words is "four hundred fifty-six thousand, seven hundred ninety".