413820405 has 12 divisors (see below), whose sum is σ = 717288780. Its totient is φ = 220704192.

The previous prime is 413820403. The next prime is 413820413. The reversal of 413820405 is 504028314.

It can be written as a sum of positive squares in 2 ways, for example, as 312334929 + 101485476 = 17673^2 + 10074^2 .

It is not a de Polignac number, because 413820405 - 2¹ = 413820403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413820403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4597960 + ... + 4598049.

It is an arithmetic number, because the mean of its divisors is an integer number (59774065).

Almost surely, 2^413820405 is an apocalyptic number.

413820405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413820405 is a deficient number, since it is larger than the sum of its proper divisors (303468375).

413820405 is a wasteful number, since it uses less digits than its factorization.

413820405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9196020 (or 9196017 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 413820405 is about 20342.5761642915. The cubic root of 413820405 is about 745.1962037470.

Adding to 413820405 its reverse (504028314), we get a palindrome (917848719).

The spelling of 413820405 in words is "four hundred thirteen million, eight hundred twenty thousand, four hundred five".