800461 has 4 divisors (see below), whose sum is σ = 802300. Its totient is φ = 798624.

The previous prime is 800447. The next prime is 800473. The reversal of 800461 is 164008.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 714025 = 294^2 + 845^2 .

It is a cyclic number.

It is not a de Polignac number, because 800461 - 2⁷ = 800333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145 + ... + 1273.

It is an arithmetic number, because the mean of its divisors is an integer number (200575).

2⁸⁰⁰⁴⁶¹ is an apocalyptic number.

It is an amenable number.

800461 is a deficient number, since it is larger than the sum of its proper divisors (1839).

800461 is a wasteful number, since it uses less digits than its factorization.

800461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 800461 is about 894.6848607191. The cubic root of 800461 is about 92.8496046853.

Adding to 800461 its reverse (164008), we get a palindrome (964469).

The spelling of 800461 in words is "eight hundred thousand, four hundred sixty-one".