459795006 has 48 divisors (see below), whose sum is σ = 1102128768. Its totient is φ = 137365200.

The previous prime is 459794989. The next prime is 459795019. The reversal of 459795006 is 600597954.

It is a happy number.

459795006 is a `hidden beast` number, since 4 + 597 + 9 + 50 + 0 + 6 = 666.

It is a super-2 number, since 2×459795006² = 422822895085080072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2296 + ... + 30411.

It is an arithmetic number, because the mean of its divisors is an integer number (22961016).

Almost surely, 2^459795006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459795006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551064384).

459795006 is an abundant number, since it is smaller than the sum of its proper divisors (642333762).

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

459795006 is a wasteful number, since it uses less digits than its factorization.

459795006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32797 (or 32794 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 459795006 is about 21442.8311097206. The cubic root of 459795006 is about 771.8295763748.

The spelling of 459795006 in words is "four hundred fifty-nine million, seven hundred ninety-five thousand, six".