408188020 has 96 divisors (see below), whose sum is σ = 963446400. Its totient is φ = 144359424.

The previous prime is 408187999. The next prime is 408188047. The reversal of 408188020 is 20881804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1156164 + ... + 1156516.

It is an arithmetic number, because the mean of its divisors is an integer number (10035900).

Almost surely, 2^408188020 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 408188020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481723200).

408188020 is an abundant number, since it is smaller than the sum of its proper divisors (555258380).

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

408188020 is a wasteful number, since it uses less digits than its factorization.

408188020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 408188020 is about 20203.6635291721. The cubic root of 408188020 is about 741.7998675601.

The spelling of 408188020 in words is "four hundred eight million, one hundred eighty-eight thousand, twenty".