1681444000 has 48 divisors (see below), whose sum is σ = 4131317736. Its totient is φ = 672576000.

The previous prime is 1681443961. The next prime is 1681444013. The reversal of 1681444000 is 4441861.

It can be written as a sum of positive squares in 4 ways, for example, as 947900944 + 733543056 = 30788^2 + 27084^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1681444000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206181 + ... + 214180.

Almost surely, 2^1681444000 is an apocalyptic number.

1681444000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1681444000 is an abundant number, since it is smaller than the sum of its proper divisors (2449873736).

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

1681444000 is an equidigital number, since it uses as much as digits as its factorization.

1681444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420386 (or 420368 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1681444000 is about 41005.4142766538. The cubic root of 1681444000 is about 1189.1248891784.

Adding to 1681444000 its reverse (4441861), we get a palindrome (1685885861).

The spelling of 1681444000 in words is "one billion, six hundred eighty-one million, four hundred forty-four thousand".