455880 has 64 divisors (see below), whose sum is σ = 1425600. Its totient is φ = 116480.

The previous prime is 455863. The next prime is 455881. The reversal of 455880 is 88554.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (455881) by changing a digit.

455880 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 15 ways as a sum of consecutive naturals, for example, 3415 + ... + 3545.

It is an arithmetic number, because the mean of its divisors is an integer number (22275).

2⁴⁵⁵⁸⁸⁰ is an apocalyptic number.

455880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712800).

455880 is an abundant number, since it is smaller than the sum of its proper divisors (969720).

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

455880 is a wasteful number, since it uses less digits than its factorization.

455880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 455880 is about 675.1888624674. The cubic root of 455880 is about 76.9632702768.

The spelling of 455880 in words is "four hundred fifty-five thousand, eight hundred eighty".