455820 has 48 divisors (see below), whose sum is σ = 1306368. Its totient is φ = 118720.

The previous prime is 455809. The next prime is 455827. The reversal of 455820 is 28554.

455820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 455820.

It is not an unprimeable number, because it can be changed into a prime (455827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4207 + ... + 4313.

It is an arithmetic number, because the mean of its divisors is an integer number (27216).

2⁴⁵⁵⁸²⁰ 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 455820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184).

455820 is an abundant number, since it is smaller than the sum of its proper divisors (850548).

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

455820 is a wasteful number, since it uses less digits than its factorization.

455820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 455820 is about 675.1444289928. The cubic root of 455820 is about 76.9598936581.

It can be divided in two parts, 455 and 820, that added together give a triangular number (1275 = T₅₀).

The spelling of 455820 in words is "four hundred fifty-five thousand, eight hundred twenty".