459606966 has 128 divisors (see below), whose sum is σ = 1185408000. Its totient is φ = 117976320.

The previous prime is 459606949. The next prime is 459606967. The reversal of 459606966 is 669606954.

It is a super-2 number, since 2×459606966² = 422477126391450312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459606967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1096705 + ... + 1097123.

It is an arithmetic number, because the mean of its divisors is an integer number (9261000).

Almost surely, 2^459606966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459606966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592704000).

459606966 is an abundant number, since it is smaller than the sum of its proper divisors (725801034).

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

459606966 is a wasteful number, since it uses less digits than its factorization.

459606966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The square root of 459606966 is about 21438.4459791282. The cubic root of 459606966 is about 771.7243449702.

The spelling of 459606966 in words is "four hundred fifty-nine million, six hundred six thousand, nine hundred sixty-six".