456954 has 8 divisors (see below), whose sum is σ = 913920. Its totient is φ = 152316.

The previous prime is 456949. The next prime is 456959. The reversal of 456954 is 459654.

It is an interprime number because it is at equal distance from previous prime (456949) and next prime (456959).

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

456954 is an admirable number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456954.

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 3 ways as a sum of consecutive naturals, for example, 38074 + ... + 38085.

It is an arithmetic number, because the mean of its divisors is an integer number (114240).

2⁴⁵⁶⁹⁵⁴ is an apocalyptic number.

456954 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

456954 is a wasteful number, since it uses less digits than its factorization.

456954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76164.

The product of its digits is 21600, while the sum is 33.

The square root of 456954 is about 675.9837276148. The cubic root of 456954 is about 77.0236616999.

The spelling of 456954 in words is "four hundred fifty-six thousand, nine hundred fifty-four".