971965440 has 352 divisors, whose sum is σ = 3537216000. Its totient is φ = 253034496.

The previous prime is 971965411. The next prime is 971965451. The reversal of 971965440 is 44569179.

971965440 is a `hidden beast` number, since 97 + 19 + 6 + 544 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10920916 + ... + 10921004.

Almost surely, 2^971965440 is an apocalyptic number.

971965440 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 971965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768608000).

971965440 is an abundant number, since it is smaller than the sum of its proper divisors (2565250560).

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

971965440 is a wasteful number, since it uses less digits than its factorization.

971965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 971965440 is about 31176.3602750546. The cubic root of 971965440 is about 990.5664343435.

The spelling of 971965440 in words is "nine hundred seventy-one million, nine hundred sixty-five thousand, four hundred forty".