456848 has 20 divisors (see below), whose sum is σ = 1011840. Its totient is φ = 195744.

The previous prime is 456821. The next prime is 456871. The reversal of 456848 is 848654.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

456848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1928 + ... + 2151.

It is an arithmetic number, because the mean of its divisors is an integer number (50592).

2⁴⁵⁶⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

456848 is an abundant number, since it is smaller than the sum of its proper divisors (554992).

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

456848 is a wasteful number, since it uses less digits than its factorization.

456848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4088 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 456848 is about 675.9053188132. The cubic root of 456848 is about 77.0177054916.

The spelling of 456848 in words is "four hundred fifty-six thousand, eight hundred forty-eight".