1990944400 has 135 divisors (see below), whose sum is σ = 5052333531. Its totient is φ = 753899520.

The previous prime is 1990944367. The next prime is 1990944437. The reversal of 1990944400 is 44490991.

The square root of 1990944400 is 44620.

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 73205136 + 1917739264 = 8556^2 + 43792^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20525152 + ... + 20525248.

Almost surely, 2^1990944400 is an apocalyptic number.

1990944400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1990944400 is the 44620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1990944400

1990944400 is an abundant number, since it is smaller than the sum of its proper divisors (3061389131).

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

1990944400 is an equidigital number, since it uses as much as digits as its factorization.

1990944400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The cubic root of 1990944400 is about 1258.0166158542.

Multiplying 1990944400 by its product of nonzero digits (46656), we get a square (92889501926400 = 9637920²).

The spelling of 1990944400 in words is "one billion, nine hundred ninety million, nine hundred forty-four thousand, four hundred".