800459505 has 24 divisors (see below), whose sum is σ = 1388261160. Its totient is φ = 426666240.

The previous prime is 800459489. The next prime is 800459533. The reversal of 800459505 is 505954008.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 175509504 + 624950001 = 13248^2 + 24999^2 .

It is not a de Polignac number, because 800459505 - 2⁴ = 800459489 is a prime.

It is a super-3 number, since 3×800459505³ (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 800459505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95941 + ... + 103949.

It is an arithmetic number, because the mean of its divisors is an integer number (57844215).

Almost surely, 2^800459505 is an apocalyptic number.

It is an amenable number.

800459505 is a deficient number, since it is larger than the sum of its proper divisors (587801655).

800459505 is a wasteful number, since it uses less digits than its factorization.

800459505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10241 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 800459505 is about 28292.3930589125. The cubic root of 800459505 is about 928.4954688104.

The spelling of 800459505 in words is "eight hundred million, four hundred fifty-nine thousand, five hundred five".