1989230400 has 210 divisors, whose sum is σ = 7312386950. Its totient is φ = 530426880.

The previous prime is 1989230393. The next prime is 1989230407. The reversal of 1989230400 is 40329891.

1989230400 is a `hidden beast` number, since 19 + 8 + 9 + 230 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1989230393) and next prime (1989230407).

It can be written as a sum of positive squares in 3 ways, for example, as 53934336 + 1935296064 = 7344^2 + 43992^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1989230407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 121926 + ... + 137274.

Almost surely, 2^1989230400 is an apocalyptic number.

1989230400 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 1989230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656193475).

1989230400 is an abundant number, since it is smaller than the sum of its proper divisors (5323156550).

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

1989230400 is a wasteful number, since it uses less digits than its factorization.

1989230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15383 (or 15359 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1989230400 is about 44600.7892306851. The cubic root of 1989230400 is about 1257.6555042224.

The spelling of 1989230400 in words is "one billion, nine hundred eighty-nine million, two hundred thirty thousand, four hundred".