404001413 has 8 divisors (see below), whose sum is σ = 438200280. Its totient is φ = 370961920.

The previous prime is 404001397. The next prime is 404001419. The reversal of 404001413 is 314100404.

It can be written as a sum of positive squares in 4 ways, for example, as 100440484 + 303560929 = 10022^2 + 17423^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 404001413 - 2⁴ = 404001397 is a prime.

It is a super-3 number, since 3×404001413³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 404001391 and 404001400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404001419) 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, 289118 + ... + 290511.

It is an arithmetic number, because the mean of its divisors is an integer number (54775035).

Almost surely, 2^404001413 is an apocalyptic number.

It is an amenable number.

404001413 is a deficient number, since it is larger than the sum of its proper divisors (34198867).

404001413 is a wasteful number, since it uses less digits than its factorization.

404001413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579687.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 404001413 is about 20099.7863918998. The cubic root of 404001413 is about 739.2550410236.

Adding to 404001413 its reverse (314100404), we get a palindrome (718101817).

The spelling of 404001413 in words is "four hundred four million, one thousand, four hundred thirteen".