1989133200 has 450 divisors, whose sum is σ = 7494775574. Its totient is φ = 505128960.

The previous prime is 1989133193. The next prime is 1989133207. The reversal of 1989133200 is 23319891.

It is an interprime number because it is at equal distance from previous prime (1989133193) and next prime (1989133207).

It can be written as a sum of positive squares in 9 ways, for example, as 418120704 + 1571012496 = 20448^2 + 39636^2 .

It is a tau number, because it is divible by the number of its divisors (450).

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

It is not an unprimeable number, because it can be changed into a prime (1989133207) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 27248364 + ... + 27248436.

Almost surely, 2^1989133200 is an apocalyptic number.

1989133200 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 1989133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747387787).

1989133200 is an abundant number, since it is smaller than the sum of its proper divisors (5505642374).

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

1989133200 is a wasteful number, since it uses less digits than its factorization.

1989133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1989133200 is about 44599.6995505575. The cubic root of 1989133200 is about 1257.6350195656.

The spelling of 1989133200 in words is "one billion, nine hundred eighty-nine million, one hundred thirty-three thousand, two hundred".