455712 has 48 divisors (see below), whose sum is σ = 1233792. Its totient is φ = 147200.

The previous prime is 455711. The next prime is 455717. The reversal of 455712 is 217554.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 455712.

It is not an unprimeable number, because it can be changed into a prime (455711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4462 + ... + 4562.

It is an arithmetic number, because the mean of its divisors is an integer number (25704).

2⁴⁵⁵⁷¹² 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 455712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896).

455712 is an abundant number, since it is smaller than the sum of its proper divisors (778080).

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

455712 is a wasteful number, since it uses less digits than its factorization.

455712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its digits is 1400, while the sum is 24.

The square root of 455712 is about 675.0644413684. The cubic root of 455712 is about 76.9538149976.

The spelling of 455712 in words is "four hundred fifty-five thousand, seven hundred twelve".