455895680 has 64 divisors (see below), whose sum is σ = 1092475080. Its totient is φ = 181923840.

The previous prime is 455895679. The next prime is 455895683. The reversal of 455895680 is 86598554.

It can be written as a sum of positive squares in 4 ways, for example, as 404170816 + 51724864 = 20104^2 + 7192^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (455895683) 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, 484010 + ... + 484950.

Almost surely, 2^455895680 is an apocalyptic number.

455895680 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 455895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546237540).

455895680 is an abundant number, since it is smaller than the sum of its proper divisors (636579400).

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

455895680 is an equidigital number, since it uses as much as digits as its factorization.

455895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 50.

The square root of 455895680 is about 21351.7137485496. The cubic root of 455895680 is about 769.6415265101.

The spelling of 455895680 in words is "four hundred fifty-five million, eight hundred ninety-five thousand, six hundred eighty".