456953 has 8 divisors (see below), whose sum is σ = 540480. Its totient is φ = 378000.

The previous prime is 456949. The next prime is 456959. The reversal of 456953 is 359654.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 456953 - 2² = 456949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (456959) by changing a digit.

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, 923 + ... + 1328.

It is an arithmetic number, because the mean of its divisors is an integer number (67560).

2⁴⁵⁶⁹⁵³ is an apocalyptic number.

It is an amenable number.

456953 is a deficient number, since it is larger than the sum of its proper divisors (83527).

456953 is a wasteful number, since it uses less digits than its factorization.

456953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287.

The product of its digits is 16200, while the sum is 32.

The square root of 456953 is about 675.9829879516. The cubic root of 456953 is about 77.0236055135.

The spelling of 456953 in words is "four hundred fifty-six thousand, nine hundred fifty-three".