456930 has 24 divisors (see below), whose sum is σ = 1188252. Its totient is φ = 121824.

The previous prime is 456923. The next prime is 456949. The reversal of 456930 is 39654.

It is a happy number.

456930 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 431649 + 25281 = 657^2 + 159^2 .

It is a junction number, because it is equal to n+sod(n) for n = 456894 and 456903.

It is an unprimeable number.

456930 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, 2449 + ... + 2628.

2⁴⁵⁶⁹³⁰ is an apocalyptic number.

456930 is an abundant number, since it is smaller than the sum of its proper divisors (731322).

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

456930 is a wasteful number, since it uses less digits than its factorization.

456930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 456930 is about 675.9659754751. The cubic root of 456930 is about 77.0223132051.

The spelling of 456930 in words is "four hundred fifty-six thousand, nine hundred thirty".