1930144800 has 144 divisors (see below), whose sum is σ = 6348156192. Its totient is φ = 509337600.

The previous prime is 1930144781. The next prime is 1930144813. The reversal of 1930144800 is 84410391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228655 + ... + 236945.

It is an arithmetic number, because the mean of its divisors is an integer number (44084418).

Almost surely, 2^1930144800 is an apocalyptic number.

1930144800 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 1930144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174078096).

1930144800 is an abundant number, since it is smaller than the sum of its proper divisors (4418011392).

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

1930144800 is a wasteful number, since it uses less digits than its factorization.

1930144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8411 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1930144800 is about 43933.4132523299. The cubic root of 1930144800 is about 1245.0782035036.

The spelling of 1930144800 in words is "one billion, nine hundred thirty million, one hundred forty-four thousand, eight hundred".