997464800 has 144 divisors (see below), whose sum is σ = 2617144992. Its totient is φ = 369868800.

The previous prime is 997464799. The next prime is 997464847. The reversal of 997464800 is 8464799.

997464800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 965084 + ... + 966116.

It is an arithmetic number, because the mean of its divisors is an integer number (18174618).

Almost surely, 2^997464800 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 997464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308572496).

997464800 is an abundant number, since it is smaller than the sum of its proper divisors (1619680192).

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

997464800 is a wasteful number, since it uses less digits than its factorization.

997464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 997464800 is about 31582.6661319148. Note that the first 3 decimals coincide. The cubic root of 997464800 is about 999.1542181881.

The spelling of 997464800 in words is "nine hundred ninety-seven million, four hundred sixty-four thousand, eight hundred".