1893990400 has 171 divisors, whose sum is σ = 4989639379. Its totient is φ = 713031680.

The previous prime is 1893990347. The next prime is 1893990419. The reversal of 1893990400 is 40993981.

The square root of 1893990400 is 43520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 44302336 + 1849688064 = 6656^2 + 43008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111411192 + ... + 111411208.

Almost surely, 2^1893990400 is an apocalyptic number.

1893990400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1893990400 is the 43520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1893990400

1893990400 is an abundant number, since it is smaller than the sum of its proper divisors (3095648979).

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

1893990400 is an frugal number, since it uses more digits than its factorization.

1893990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The cubic root of 1893990400 is about 1237.2551146221.

The spelling of 1893990400 in words is "one billion, eight hundred ninety-three million, nine hundred ninety thousand, four hundred".