997200000 has 288 divisors, whose sum is σ = 3599652420. Its totient is φ = 264960000.

The previous prime is 997199989. The next prime is 997200011. The reversal of 997200000 is 2799.

It is an interprime number because it is at equal distance from previous prime (997199989) and next prime (997200011).

It can be written as a sum of positive squares in 6 ways, for example, as 257795136 + 739404864 = 16056^2 + 27192^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3599862 + ... + 3600138.

Almost surely, 2^997200000 is an apocalyptic number.

997200000 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 997200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799826210).

997200000 is an abundant number, since it is smaller than the sum of its proper divisors (2602452420).

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

997200000 is an equidigital number, since it uses as much as digits as its factorization.

997200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 997200000 is about 31578.4736806578. The cubic root of 997200000 is about 999.0657941980.

Adding to 997200000 its reverse (2799), we get a palindrome (997202799).

The spelling of 997200000 in words is "nine hundred ninety-seven million, two hundred thousand".