459800101 has 2 divisors, whose sum is σ = 459800102. Its totient is φ = 459800100.

The previous prime is 459800093. The next prime is 459800111. The reversal of 459800101 is 101008954.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 437228100 + 22572001 = 20910^2 + 4751^2 .

It is a cyclic number.

It is not a de Polignac number, because 459800101 - 2³ = 459800093 is a prime.

It is a super-2 number, since 2×459800101² = 422832265759220402, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 459800101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (459800111) by changing a digit.

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 as a sum of consecutive naturals, namely, 229900050 + 229900051.

It is an arithmetic number, because the mean of its divisors is an integer number (229900051).

Almost surely, 2^459800101 is an apocalyptic number.

It is an amenable number.

459800101 is a deficient number, since it is larger than the sum of its proper divisors (1).

459800101 is an equidigital number, since it uses as much as digits as its factorization.

459800101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 459800101 is about 21442.9499136663. The cubic root of 459800101 is about 771.8324272519.

The spelling of 459800101 in words is "four hundred fifty-nine million, eight hundred thousand, one hundred one".