408528880 has 80 divisors (see below), whose sum is σ = 1003819680. Its totient is φ = 154192896.

The previous prime is 408528851. The next prime is 408528907. The reversal of 408528880 is 88825804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603102 + ... + 603778.

It is an arithmetic number, because the mean of its divisors is an integer number (12547746).

Almost surely, 2^408528880 is an apocalyptic number.

408528880 is a gapful number since it is divisible by the number (40) 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 408528880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501909840).

408528880 is an abundant number, since it is smaller than the sum of its proper divisors (595290800).

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

408528880 is a wasteful number, since it uses less digits than its factorization.

408528880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 43.

The square root of 408528880 is about 20212.0973676657. The cubic root of 408528880 is about 742.0062916766.

The spelling of 408528880 in words is "four hundred eight million, five hundred twenty-eight thousand, eight hundred eighty".