997464000 has 448 divisors, whose sum is σ = 3727825920. Its totient is φ = 233164800.

The previous prime is 997463989. The next prime is 997464007. The reversal of 997464000 is 464799.

997464000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 997464000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997464007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7175931 + ... + 7176069.

It is an arithmetic number, because the mean of its divisors is an integer number (8321040).

Almost surely, 2^997464000 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 997464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863912960).

997464000 is an abundant number, since it is smaller than the sum of its proper divisors (2730361920).

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

997464000 is a wasteful number, since it uses less digits than its factorization.

997464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 997464000 is about 31582.6534667371. The cubic root of 997464000 is about 999.1539510697.

The spelling of 997464000 in words is "nine hundred ninety-seven million, four hundred sixty-four thousand".