409788960 has 384 divisors, whose sum is σ = 1596672000. Its totient is φ = 88058880.

The previous prime is 409788919. The next prime is 409788989. The reversal of 409788960 is 69887904.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3128095 + ... + 3128225.

It is an arithmetic number, because the mean of its divisors is an integer number (4158000).

Almost surely, 2^409788960 is an apocalyptic number.

409788960 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 409788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798336000).

409788960 is an abundant number, since it is smaller than the sum of its proper divisors (1186883040).

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

409788960 is a wasteful number, since it uses less digits than its factorization.

409788960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 409788960 is about 20243.2447991917. The cubic root of 409788960 is about 742.7683982462.

The spelling of 409788960 in words is "four hundred nine million, seven hundred eighty-eight thousand, nine hundred sixty".