989971200 has 432 divisors, whose sum is σ = 3855065760. Its totient is φ = 247726080.

The previous prime is 989971181. The next prime is 989971201. The reversal of 989971200 is 2179989.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (989971201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2937432 + ... + 2937768.

Almost surely, 2^989971200 is an apocalyptic number.

989971200 is a gapful number since it is divisible by the number (90) 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 989971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927532880).

989971200 is an abundant number, since it is smaller than the sum of its proper divisors (2865094560).

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

989971200 is a wasteful number, since it uses less digits than its factorization.

989971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 989971200 is about 31463.8077797332. The cubic root of 989971200 is about 996.6458287808.

The spelling of 989971200 in words is "nine hundred eighty-nine million, nine hundred seventy-one thousand, two hundred".