1930443840 has 560 divisors, whose sum is σ = 7853397552. Its totient is φ = 445906944.

The previous prime is 1930443829. The next prime is 1930443859. The reversal of 1930443840 is 483440391.

It can be written as a sum of positive squares in 8 ways, for example, as 107495424 + 1822948416 = 10368^2 + 42696^2 .

It is a super-2 number, since 2×1930443840² = 7453226838787891200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1930443795 and 1930443804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5728152 + ... + 5728488.

Almost surely, 2^1930443840 is an apocalyptic number.

1930443840 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 1930443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926698776).

1930443840 is an abundant number, since it is smaller than the sum of its proper divisors (5922953712).

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

1930443840 is a wasteful number, since it uses less digits than its factorization.

1930443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

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

The square root of 1930443840 is about 43936.8164527199. The cubic root of 1930443840 is about 1245.1425007451.

The spelling of 1930443840 in words is "one billion, nine hundred thirty million, four hundred forty-three thousand, eight hundred forty".