408642164 has 36 divisors (see below), whose sum is σ = 834629796. Its totient is φ = 174553344.

The previous prime is 408642151. The next prime is 408642191. The reversal of 408642164 is 461246804.

It can be written as a sum of positive squares in 2 ways, for example, as 232867600 + 175774564 = 15260^2 + 13258^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58844 + ... + 65420.

It is an arithmetic number, because the mean of its divisors is an integer number (23184161).

Almost surely, 2^408642164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408642164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417314898).

408642164 is an abundant number, since it is smaller than the sum of its proper divisors (425987632).

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

408642164 is a wasteful number, since it uses less digits than its factorization.

408642164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6912 (or 6903 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 408642164 is about 20214.8995545365. The cubic root of 408642164 is about 742.0748708121.

Adding to 408642164 its reverse (461246804), we get a palindrome (869888968).

The spelling of 408642164 in words is "four hundred eight million, six hundred forty-two thousand, one hundred sixty-four".