997431600 has 480 divisors, whose sum is σ = 3797256960. Its totient is φ = 221184000.

The previous prime is 997431583. The next prime is 997431601. The reversal of 997431600 is 6134799.

It is not an unprimeable number, because it can be changed into a prime (997431601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10282752 + ... + 10282848.

It is an arithmetic number, because the mean of its divisors is an integer number (7910952).

Almost surely, 2^997431600 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 997431600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898628480).

997431600 is an abundant number, since it is smaller than the sum of its proper divisors (2799825360).

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

997431600 is a wasteful number, since it uses less digits than its factorization.

997431600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 997431600 is about 31582.1405227701. The cubic root of 997431600 is about 999.1431326547.

The spelling of 997431600 in words is "nine hundred ninety-seven million, four hundred thirty-one thousand, six hundred".