408440408805 has 48 divisors (see below), whose sum is σ = 831733209216. Its totient is φ = 182798501760.

The previous prime is 408440408741. The next prime is 408440408833. The reversal of 408440408805 is 508804044804.

408440408805 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 408440408805 - 2⁶ = 408440408741 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31729417 + ... + 31742286.

It is an arithmetic number, because the mean of its divisors is an integer number (17327775192).

Almost surely, 2^408440408805 is an apocalyptic number.

408440408805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

408440408805 is an abundant number, since it is smaller than the sum of its proper divisors (423292800411).

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

408440408805 is a wasteful number, since it uses less digits than its factorization.

408440408805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63471738 (or 63471735 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 408440408805 in words is "four hundred eight billion, four hundred forty million, four hundred eight thousand, eight hundred five".