1930345200 has 540 divisors, whose sum is σ = 8066680128. Its totient is φ = 425779200.

The previous prime is 1930345199. The next prime is 1930345211. The reversal of 1930345200 is 25430391.

It is a congruent 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 107 ways as a sum of consecutive naturals, for example, 5468224 + ... + 5468576.

Almost surely, 2^1930345200 is an apocalyptic number.

1930345200 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 1930345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033340064).

1930345200 is an abundant number, since it is smaller than the sum of its proper divisors (6136334928).

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

1930345200 is a wasteful number, since it uses less digits than its factorization.

1930345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1930345200 is about 43935.6939173606. The cubic root of 1930345200 is about 1245.1212926779.

Adding to 1930345200 its reverse (25430391), we get a palindrome (1955775591).

The spelling of 1930345200 in words is "one billion, nine hundred thirty million, three hundred forty-five thousand, two hundred".