970447200 has 144 divisors (see below), whose sum is σ = 3189170880. Its totient is φ = 256299520.

The previous prime is 970447183. The next prime is 970447201. The reversal of 970447200 is 2744079.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970447201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 254911 + ... + 258689.

It is an arithmetic number, because the mean of its divisors is an integer number (22147020).

Almost surely, 2^970447200 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 970447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594585440).

970447200 is an abundant number, since it is smaller than the sum of its proper divisors (2218723680).

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

970447200 is a wasteful number, since it uses less digits than its factorization.

970447200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 970447200 is about 31152.0015408320. The cubic root of 970447200 is about 990.0504004542.

The spelling of 970447200 in words is "nine hundred seventy million, four hundred forty-seven thousand, two hundred".