971705448 has 384 divisors, whose sum is σ = 3450470400. Its totient is φ = 240371712.

The previous prime is 971705411. The next prime is 971705473. The reversal of 971705448 is 844507179.

It is a happy number.

971705448 is a `hidden beast` number, since 97 + 17 + 0 + 544 + 8 = 666.

971705448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×971705448² = 1888422955345761408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7651161 + ... + 7651287.

It is an arithmetic number, because the mean of its divisors is an integer number (8985600).

Almost surely, 2^971705448 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 971705448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725235200).

971705448 is an abundant number, since it is smaller than the sum of its proper divisors (2478764952).

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

971705448 is a wasteful number, since it uses less digits than its factorization.

971705448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 971705448 is about 31172.1902984054. The cubic root of 971705448 is about 990.4781039343.

The spelling of 971705448 in words is "nine hundred seventy-one million, seven hundred five thousand, four hundred forty-eight".