800413 has 8 divisors (see below), whose sum is σ = 852800. Its totient is φ = 749088.

The previous prime is 800407. The next prime is 800417. The reversal of 800413 is 314008.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-800413 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 (800417) 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 7 ways as a sum of consecutive naturals, for example, 1753 + ... + 2161.

It is an arithmetic number, because the mean of its divisors is an integer number (106600).

2⁸⁰⁰⁴¹³ is an apocalyptic number.

It is an amenable number.

800413 is a deficient number, since it is larger than the sum of its proper divisors (52387).

800413 is a wasteful number, since it uses less digits than its factorization.

800413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 800413 is about 894.6580352291. The cubic root of 800413 is about 92.8477487256.

The spelling of 800413 in words is "eight hundred thousand, four hundred thirteen".