997855200 has 504 divisors, whose sum is σ = 3842332200. Its totient is φ = 252564480.

The previous prime is 997855189. The next prime is 997855237. The reversal of 997855200 is 2558799.

It is a happy number.

997855200 is a `hidden beast` number, since 9 + 97 + 8 + 552 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 16912771 + ... + 16912829.

It is an arithmetic number, because the mean of its divisors is an integer number (7623675).

Almost surely, 2^997855200 is an apocalyptic number.

997855200 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 997855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921166100).

997855200 is an abundant number, since it is smaller than the sum of its proper divisors (2844477000).

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

997855200 is a wasteful number, since it uses less digits than its factorization.

997855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 997855200 is about 31588.8461327729. The cubic root of 997855200 is about 999.2845549271.

The spelling of 997855200 in words is "nine hundred ninety-seven million, eight hundred fifty-five thousand, two hundred".