971697480 has 256 divisors, whose sum is σ = 3297853440. Its totient is φ = 227404800.

The previous prime is 971697473. The next prime is 971697521. The reversal of 971697480 is 84796179.

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 63 ways as a sum of consecutive naturals, for example, 3433419 + ... + 3433701.

It is an arithmetic number, because the mean of its divisors is an integer number (12882240).

Almost surely, 2^971697480 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 971697480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648926720).

971697480 is an abundant number, since it is smaller than the sum of its proper divisors (2326155960).

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

971697480 is a wasteful number, since it uses less digits than its factorization.

971697480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 971697480 is about 31172.0624919173. The cubic root of 971697480 is about 990.4753966149.

The spelling of 971697480 in words is "nine hundred seventy-one million, six hundred ninety-seven thousand, four hundred eighty".