989388302400 has 567 divisors, whose sum is σ = 3663518015469. Its totient is φ = 262977477120.

The previous prime is 989388302389. The next prime is 989388302489. The reversal of 989388302400 is 4203883989.

It is a happy number.

The square root of 989388302400 is 994680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 356179788864 + 633208513536 = 596808^2 + 795744^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3222763047 + ... + 3222763353.

Almost surely, 2^989388302400 is an apocalyptic number.

989388302400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

989388302400 is the 994680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989388302400

989388302400 is an abundant number, since it is smaller than the sum of its proper divisors (2674129713069).

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

989388302400 is an frugal number, since it uses more digits than its factorization.

989388302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 989388302400 in words is "nine hundred eighty-nine billion, three hundred eighty-eight million, three hundred two thousand, four hundred".