971873408 has 128 divisors (see below), whose sum is σ = 2355220800. Its totient is φ = 393707520.

The previous prime is 971873387. The next prime is 971873417. The reversal of 971873408 is 804378179.

971873408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453716 + ... + 455852.

Almost surely, 2^971873408 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 971873408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177610400).

971873408 is an abundant number, since it is smaller than the sum of its proper divisors (1383347392).

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

971873408 is a wasteful number, since it uses less digits than its factorization.

971873408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The square root of 971873408 is about 31174.8842499856. The cubic root of 971873408 is about 990.5351689357.

The spelling of 971873408 in words is "nine hundred seventy-one million, eight hundred seventy-three thousand, four hundred eight".