455756 has 24 divisors (see below), whose sum is σ = 936096. Its totient is φ = 190080.

The previous prime is 455737. The next prime is 455761. The reversal of 455756 is 657554.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 455756.

It is an unprimeable number.

455756 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 950 + ... + 1346.

It is an arithmetic number, because the mean of its divisors is an integer number (39004).

2⁴⁵⁵⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468048).

455756 is an abundant number, since it is smaller than the sum of its proper divisors (480340).

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

455756 is a wasteful number, since it uses less digits than its factorization.

455756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 447 counting only the distinct ones).

The product of its digits is 21000, while the sum is 32.

The square root of 455756 is about 675.0970300631. The cubic root of 455756 is about 76.9562916049.

The spelling of 455756 in words is "four hundred fifty-five thousand, seven hundred fifty-six".