455964 has 12 divisors (see below), whose sum is σ = 1063944. Its totient is φ = 151984.

The previous prime is 455953. The next prime is 455969. The reversal of 455964 is 469554.

It is a tau number, because it is divible by the number of its divisors (12).

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 455964.

It is not an unprimeable number, because it can be changed into a prime (455969) by changing a digit.

455964 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 3 ways as a sum of consecutive naturals, for example, 18987 + ... + 19010.

It is an arithmetic number, because the mean of its divisors is an integer number (88662).

2⁴⁵⁵⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

455964 is an abundant number, since it is smaller than the sum of its proper divisors (607980).

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

455964 is a wasteful number, since it uses less digits than its factorization.

455964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38004 (or 38002 counting only the distinct ones).

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

The square root of 455964 is about 675.2510644197. The cubic root of 455964 is about 76.9679970453.

The spelling of 455964 in words is "four hundred fifty-five thousand, nine hundred sixty-four".