6409430208 has 336 divisors, whose sum is σ = 20340320000. Its totient is φ = 1995383808.

The previous prime is 6409430201. The next prime is 6409430213. The reversal of 6409430208 is 8020349046.

It is a happy number.

6409430208 is a `hidden beast` number, since 6 + 409 + 43 + 0 + 208 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6409430201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32208093 + ... + 32208291.

Almost surely, 2^6409430208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6409430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10170160000).

6409430208 is an abundant number, since it is smaller than the sum of its proper divisors (13930889792).

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

6409430208 is a wasteful number, since it uses less digits than its factorization.

6409430208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 332 counting only the distinct ones).

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

The square root of 6409430208 is about 80058.9171048422. The cubic root of 6409430208 is about 1857.5469848460.

The spelling of 6409430208 in words is "six billion, four hundred nine million, four hundred thirty thousand, two hundred eight".