408073168 has 20 divisors (see below), whose sum is σ = 837150660. Its totient is φ = 192034304.

The previous prime is 408073163. The next prime is 408073187. The reversal of 408073168 is 861370804.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 350737984 + 57335184 = 18728^2 + 7572^2 .

It is a super-3 number, since 3×408073168³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408073163) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 749863 + ... + 750406.

It is an arithmetic number, because the mean of its divisors is an integer number (41857533).

Almost surely, 2^408073168 is an apocalyptic number.

It is an amenable number.

408073168 is an abundant number, since it is smaller than the sum of its proper divisors (429077492).

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

408073168 is a wasteful number, since it uses less digits than its factorization.

408073168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500294 (or 1500288 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 408073168 is about 20200.8209734159. The cubic root of 408073168 is about 741.7302875413.

The spelling of 408073168 in words is "four hundred eight million, seventy-three thousand, one hundred sixty-eight".