414813 has 8 divisors (see below), whose sum is σ = 632128. Its totient is φ = 237024.

The previous prime is 414809. The next prime is 414833. The reversal of 414813 is 318414.

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

It is not a de Polignac number, because 414813 - 2² = 414809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 19753 = 414813 / (4 + 1 + 4 + 8 + 1 + 3).

It is a Curzon number.

414813 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 414813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9856 + ... + 9897.

It is an arithmetic number, because the mean of its divisors is an integer number (79016).

2⁴¹⁴⁸¹³ is an apocalyptic number.

It is an amenable number.

414813 is a deficient number, since it is larger than the sum of its proper divisors (217315).

414813 is a wasteful number, since it uses less digits than its factorization.

414813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19763.

The product of its digits is 384, while the sum is 21.

The square root of 414813 is about 644.0597798341. The cubic root of 414813 is about 74.5791540438.

The spelling of 414813 in words is "four hundred fourteen thousand, eight hundred thirteen".