455145768 has 192 divisors, whose sum is σ = 1566864000. Its totient is φ = 115914240.

The previous prime is 455145767. The next prime is 455145809. The reversal of 455145768 is 867541554.

It is not an unprimeable number, because it can be changed into a prime (455145763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293058 + ... + 294606.

It is an arithmetic number, because the mean of its divisors is an integer number (8160750).

Almost surely, 2^455145768 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 455145768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783432000).

455145768 is an abundant number, since it is smaller than the sum of its proper divisors (1111718232).

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

455145768 is a wasteful number, since it uses less digits than its factorization.

455145768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1625 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 455145768 is about 21334.1455887036. The cubic root of 455145768 is about 769.2192952894.

The spelling of 455145768 in words is "four hundred fifty-five million, one hundred forty-five thousand, seven hundred sixty-eight".