1609200000 has 384 divisors, whose sum is σ = 5976180000. Its totient is φ = 426240000.

The previous prime is 1609199989. The next prime is 1609200001. The reversal of 1609200000 is 29061.

1609200000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609200001) 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, 10799926 + ... + 10800074.

Almost surely, 2^1609200000 is an apocalyptic number.

1609200000 is a gapful number since it is divisible by the number (10) 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 1609200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988090000).

1609200000 is an abundant number, since it is smaller than the sum of its proper divisors (4366980000).

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

1609200000 is an frugal number, since it uses more digits than its factorization.

1609200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1609200000 is about 40114.8351610723. The cubic root of 1609200000 is about 1171.8445592093.

Adding to 1609200000 its reverse (29061), we get a palindrome (1609229061).

The spelling of 1609200000 in words is "one billion, six hundred nine million, two hundred thousand".