409328640 has 528 divisors, whose sum is σ = 1716728832. Its totient is φ = 91570176.

The previous prime is 409328627. The next prime is 409328657. The reversal of 409328640 is 46823904.

It is a happy number.

409328640 is a `hidden beast` number, since 4 + 0 + 9 + 3 + 2 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 409328595 and 409328604.

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 47 ways as a sum of consecutive naturals, for example, 8709097 + ... + 8709143.

Almost surely, 2^409328640 is an apocalyptic number.

409328640 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 409328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858364416).

409328640 is an abundant number, since it is smaller than the sum of its proper divisors (1307400192).

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

409328640 is an equidigital number, since it uses as much as digits as its factorization.

409328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 409328640 is about 20231.8718857154. The cubic root of 409328640 is about 742.4901743420.

409328640 divided by its product of nonzero digits (41472) gives a triangular number (9870 = T₁₄₀).

The spelling of 409328640 in words is "four hundred nine million, three hundred twenty-eight thousand, six hundred forty".