455872 has 28 divisors (see below), whose sum is σ = 960120. Its totient is φ = 214016.

The previous prime is 455863. The next prime is 455881. The reversal of 455872 is 278554.

It is an interprime number because it is at equal distance from previous prime (455863) and next prime (455881).

Its product of digits (11200) is a multiple of the sum of its prime factors (448).

It is an unprimeable number.

455872 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 3 ways as a sum of consecutive naturals, for example, 879 + ... + 1297.

It is an arithmetic number, because the mean of its divisors is an integer number (34290).

2⁴⁵⁵⁸⁷² 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 455872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480060).

455872 is an abundant number, since it is smaller than the sum of its proper divisors (504248).

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

455872 is a wasteful number, since it uses less digits than its factorization.

455872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its digits is 11200, while the sum is 31.

The square root of 455872 is about 675.1829381731. The cubic root of 455872 is about 76.9628200781.

The spelling of 455872 in words is "four hundred fifty-five thousand, eight hundred seventy-two".