970771200 has 432 divisors, whose sum is σ = 3795757056. Its totient is φ = 213811200.

The previous prime is 970771181. The next prime is 970771211. The reversal of 970771200 is 2177079.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4166284 + ... + 4166516.

Almost surely, 2^970771200 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 970771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897878528).

970771200 is an abundant number, since it is smaller than the sum of its proper divisors (2824985856).

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

970771200 is a wasteful number, since it uses less digits than its factorization.

970771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 33.

The square root of 970771200 is about 31157.2014147612. The cubic root of 970771200 is about 990.1605698131.

The spelling of 970771200 in words is "nine hundred seventy million, seven hundred seventy-one thousand, two hundred".