970957200 has 240 divisors, whose sum is σ = 3290710016. Its totient is φ = 244339200.

The previous prime is 970957199. The next prime is 970957201. The reversal of 970957200 is 2759079.

It is an interprime number because it is at equal distance from previous prime (970957199) and next prime (970957201).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (970957201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599297 + ... + 1599903.

Almost surely, 2^970957200 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 970957200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645355008).

970957200 is an abundant number, since it is smaller than the sum of its proper divisors (2319752816).

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

970957200 is a wasteful number, since it uses less digits than its factorization.

970957200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 970957200 is about 31160.1861355159. The cubic root of 970957200 is about 990.2238041107.

The spelling of 970957200 in words is "nine hundred seventy million, nine hundred fifty-seven thousand, two hundred".