997519200 has 288 divisors, whose sum is σ = 3590770176. Its totient is φ = 239247360.

The previous prime is 997519199. The next prime is 997519241. The reversal of 997519200 is 2915799.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 937869 + ... + 938931.

It is an arithmetic number, because the mean of its divisors is an integer number (12467952).

Almost surely, 2^997519200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997519200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795385088).

997519200 is an abundant number, since it is smaller than the sum of its proper divisors (2593250976).

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

997519200 is a wasteful number, since it uses less digits than its factorization.

997519200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 42.

The square root of 997519200 is about 31583.5273520866. The cubic root of 997519200 is about 999.1723819039.

The spelling of 997519200 in words is "nine hundred ninety-seven million, five hundred nineteen thousand, two hundred".