1609208496 has 240 divisors, whose sum is σ = 5496791040. Its totient is φ = 429235200.

The previous prime is 1609208483. The next prime is 1609208519. The reversal of 1609208496 is 6948029061.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1397521 + ... + 1398671.

It is an arithmetic number, because the mean of its divisors is an integer number (22903296).

Almost surely, 2^1609208496 is an apocalyptic number.

1609208496 is a gapful number since it is divisible by the number (16) 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 1609208496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748395520).

1609208496 is an abundant number, since it is smaller than the sum of its proper divisors (3887582544).

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

1609208496 is a wasteful number, since it uses less digits than its factorization.

1609208496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1609208496 is about 40114.9410569179. The cubic root of 1609208496 is about 1171.8466215122.

The spelling of 1609208496 in words is "one billion, six hundred nine million, two hundred eight thousand, four hundred ninety-six".