997045920 has 432 divisors, whose sum is σ = 3917185272. Its totient is φ = 230031360.

The previous prime is 997045909. The next prime is 997045943. The reversal of 997045920 is 29540799.

It can be written as a sum of positive squares in 12 ways, for example, as 43718544 + 953327376 = 6612^2 + 30876^2 .

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

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 71 ways as a sum of consecutive naturals, for example, 4137000 + ... + 4137240.

Almost surely, 2^997045920 is an apocalyptic number.

997045920 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 997045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958592636).

997045920 is an abundant number, since it is smaller than the sum of its proper divisors (2920139352).

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

997045920 is a wasteful number, since it uses less digits than its factorization.

997045920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 997045920 is about 31576.0339498171. The cubic root of 997045920 is about 999.0143354513.

The spelling of 997045920 in words is "nine hundred ninety-seven million, forty-five thousand, nine hundred twenty".