408506406 has 96 divisors (see below), whose sum is σ = 1059846144. Its totient is φ = 102643200.

The previous prime is 408506401. The next prime is 408506429. The reversal of 408506406 is 604605804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408506401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156246 + ... + 158838.

It is an arithmetic number, because the mean of its divisors is an integer number (11040064).

Almost surely, 2^408506406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408506406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529923072).

408506406 is an abundant number, since it is smaller than the sum of its proper divisors (651339738).

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

408506406 is a wasteful number, since it uses less digits than its factorization.

408506406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 408506406 is about 20211.5414058404. The cubic root of 408506406 is about 741.9926850048.

The spelling of 408506406 in words is "four hundred eight million, five hundred six thousand, four hundred six".