408168080 has 40 divisors (see below), whose sum is σ = 964559544. Its totient is φ = 160588800.

The previous prime is 408168031. The next prime is 408168107. The reversal of 408168080 is 80861804.

It can be written as a sum of positive squares in 4 ways, for example, as 53523856 + 354644224 = 7316^2 + 18832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 408168080.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36941 + ... + 46700.

Almost surely, 2^408168080 is an apocalyptic number.

408168080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408168080 is an abundant number, since it is smaller than the sum of its proper divisors (556391464).

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

408168080 is a wasteful number, since it uses less digits than its factorization.

408168080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83715 (or 83709 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 408168080 is about 20203.1700482870. The cubic root of 408168080 is about 741.7877883797.

The spelling of 408168080 in words is "four hundred eight million, one hundred sixty-eight thousand, eighty".