455920 has 40 divisors (see below), whose sum is σ = 1093680. Its totient is φ = 176640.

The previous prime is 455899. The next prime is 455921. The reversal of 455920 is 29554.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3211 + ... + 3349.

It is an arithmetic number, because the mean of its divisors is an integer number (27342).

2⁴⁵⁵⁹²⁰ is an apocalyptic number.

455920 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 455920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546840).

455920 is an abundant number, since it is smaller than the sum of its proper divisors (637760).

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

455920 is a wasteful number, since it uses less digits than its factorization.

455920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 455920 is about 675.2184831593. The cubic root of 455920 is about 76.9655211914.

The spelling of 455920 in words is "four hundred fifty-five thousand, nine hundred twenty".