459975168 has 120 divisors (see below), whose sum is σ = 1337507028. Its totient is φ = 152174592.

The previous prime is 459975121. The next prime is 459975203. The reversal of 459975168 is 861579954.

It can be written as a sum of positive squares in 2 ways, for example, as 317124864 + 142850304 = 17808^2 + 11952^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 796896 + ... + 797472.

Almost surely, 2^459975168 is an apocalyptic number.

459975168 is a gapful number since it is divisible by the number (48) 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 459975168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668753514).

459975168 is an abundant number, since it is smaller than the sum of its proper divisors (877531860).

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

459975168 is a wasteful number, since it uses less digits than its factorization.

459975168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 755 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 459975168 is about 21447.0316827294. The cubic root of 459975168 is about 771.9303721645.

The spelling of 459975168 in words is "four hundred fifty-nine million, nine hundred seventy-five thousand, one hundred sixty-eight".