408606606804 has 192 divisors, whose sum is σ = 1116648529920. Its totient is φ = 115117632000.

The previous prime is 408606606787. The next prime is 408606606809.

408606606804 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408606606809) 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 63 ways as a sum of consecutive naturals, for example, 10714282 + ... + 10752350.

It is an arithmetic number, because the mean of its divisors is an integer number (5815877760).

Almost surely, 2^408606606804 is an apocalyptic number.

408606606804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408606606804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558324264960).

408606606804 is an abundant number, since it is smaller than the sum of its proper divisors (708041923116).

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

408606606804 is a wasteful number, since it uses less digits than its factorization.

408606606804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38222 (or 38220 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 408606606804 in words is "four hundred eight billion, six hundred six million, six hundred six thousand, eight hundred four".