408881088 has 336 divisors, whose sum is σ = 1528876800. Its totient is φ = 105960960.

The previous prime is 408881087. The next prime is 408881107. The reversal of 408881088 is 880188804.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408881087) 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 47 ways as a sum of consecutive naturals, for example, 931173 + ... + 931611.

Almost surely, 2^408881088 is an apocalyptic number.

408881088 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 408881088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764438400).

408881088 is an abundant number, since it is smaller than the sum of its proper divisors (1119995712).

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

408881088 is a wasteful number, since it uses less digits than its factorization.

408881088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 462 counting only the distinct ones).

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

The square root of 408881088 is about 20220.8082924496. The cubic root of 408881088 is about 742.2194675351.

The spelling of 408881088 in words is "four hundred eight million, eight hundred eighty-one thousand, eighty-eight".