456974 has 12 divisors (see below), whose sum is σ = 797544. Its totient is φ = 195804.

The previous prime is 456959. The next prime is 456979. The reversal of 456974 is 479654.

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 a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456974.

It is not an unprimeable number, because it can be changed into a prime (456979) by changing a digit.

456974 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 5 ways as a sum of consecutive naturals, for example, 2234 + ... + 2429.

It is an arithmetic number, because the mean of its divisors is an integer number (66462).

456974 is a Friedman number, since it can be written as 7-9+(6+5*4)^4, using all its digits and the basic arithmetic operations.

2⁴⁵⁶⁹⁷⁴ is an apocalyptic number.

456974 is a deficient number, since it is larger than the sum of its proper divisors (340570).

456974 is a wasteful number, since it uses less digits than its factorization.

456974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4672 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 456974 is about 675.9985207084. The cubic root of 456974 is about 77.0247854094.

The spelling of 456974 in words is "four hundred fifty-six thousand, nine hundred seventy-four".