408081888 has 120 divisors (see below), whose sum is σ = 1206385488. Its totient is φ = 135323136.

The previous prime is 408081859. The next prime is 408081901. The reversal of 408081888 is 888180804.

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 19 ways as a sum of consecutive naturals, for example, 811045 + ... + 811547.

Almost surely, 2^408081888 is an apocalyptic number.

408081888 is a gapful number since it is divisible by the number (48) 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 408081888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603192744).

408081888 is an abundant number, since it is smaller than the sum of its proper divisors (798303600).

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

408081888 is a wasteful number, since it uses less digits than its factorization.

408081888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 45.

The square root of 408081888 is about 20201.0368050751. The cubic root of 408081888 is about 741.7355707785.

The spelling of 408081888 in words is "four hundred eight million, eighty-one thousand, eight hundred eighty-eight".