456558648 has 256 divisors, whose sum is σ = 1499904000. Its totient is φ = 112527360.

The previous prime is 456558637. The next prime is 456558673. The reversal of 456558648 is 846855654.

It is a self number, because there is not a number n which added to its sum of digits gives 456558648.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3064078 + ... + 3064226.

It is an arithmetic number, because the mean of its divisors is an integer number (5859000).

Almost surely, 2^456558648 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 456558648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952000).

456558648 is an abundant number, since it is smaller than the sum of its proper divisors (1043345352).

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

456558648 is a wasteful number, since it uses less digits than its factorization.

456558648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 51.

The square root of 456558648 is about 21367.2330450154. The cubic root of 456558648 is about 770.0144192499.

The spelling of 456558648 in words is "four hundred fifty-six million, five hundred fifty-eight thousand, six hundred forty-eight".