1944890400 has 144 divisors (see below), whose sum is σ = 6535081728. Its totient is φ = 501888000.

The previous prime is 1944890383. The next prime is 1944890401. The reversal of 1944890400 is 40984491.

It is not an unprimeable number, because it can be changed into a prime (1944890401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61330 + ... + 87470.

It is an arithmetic number, because the mean of its divisors is an integer number (45382512).

Almost surely, 2^1944890400 is an apocalyptic number.

1944890400 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 1944890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267540864).

1944890400 is an abundant number, since it is smaller than the sum of its proper divisors (4590191328).

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

1944890400 is a wasteful number, since it uses less digits than its factorization.

1944890400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26195 (or 26182 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1944890400 is about 44100.9115552048. The cubic root of 1944890400 is about 1248.2408106972.

The spelling of 1944890400 in words is "one billion, nine hundred forty-four million, eight hundred ninety thousand, four hundred".