408604406805 has 144 divisors (see below), whose sum is σ = 876191359680. Its totient is φ = 175133435904.

The previous prime is 408604406759. The next prime is 408604406809. The reversal of 408604406805 is 508604406804.

It is not a de Polignac number, because 408604406805 - 2⁸ = 408604406549 is a prime.

It is a super-2 number, since 2×408604406805² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408604406809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4013542 + ... + 4114088.

It is an arithmetic number, because the mean of its divisors is an integer number (6084662220).

Almost surely, 2^408604406805 is an apocalyptic number.

408604406805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

408604406805 is an abundant number, since it is smaller than the sum of its proper divisors (467586952875).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

408604406805 is a wasteful number, since it uses less digits than its factorization.

408604406805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100688 (or 100678 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

Subtracting 408604406805 from its reverse (508604406804), we obtain a palindrome (99999999999).

It can be divided in two parts, 408604 and 406805, that added together give a square (815409 = 903²).

The spelling of 408604406805 in words is "four hundred eight billion, six hundred four million, four hundred six thousand, eight hundred five".