455987688 has 192 divisors, whose sum is σ = 1334289600. Its totient is φ = 129392640.

The previous prime is 455987683. The next prime is 455987713. The reversal of 455987688 is 886789554.

It is not an unprimeable number, because it can be changed into a prime (455987681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4700856 + ... + 4700952.

It is an arithmetic number, because the mean of its divisors is an integer number (6949425).

Almost surely, 2^455987688 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 455987688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667144800).

455987688 is an abundant number, since it is smaller than the sum of its proper divisors (878301912).

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

455987688 is a wasteful number, since it uses less digits than its factorization.

455987688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 60.

The square root of 455987688 is about 21353.8682210039. The cubic root of 455987688 is about 769.6932988910.

The spelling of 455987688 in words is "four hundred fifty-five million, nine hundred eighty-seven thousand, six hundred eighty-eight".