971204416 has 112 divisors (see below), whose sum is σ = 2436628096. Its totient is φ = 373745664.

The previous prime is 971204393. The next prime is 971204419. The reversal of 971204416 is 614402179.

971204416 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 (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971204419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213235 + ... + 217741.

It is an arithmetic number, because the mean of its divisors is an integer number (21755608).

Almost surely, 2^971204416 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 971204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218314048).

971204416 is an abundant number, since it is smaller than the sum of its proper divisors (1465423680).

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

971204416 is a wasteful number, since it uses less digits than its factorization.

971204416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 971204416 is about 31164.1527399671. The cubic root of 971204416 is about 990.3078374731.

The spelling of 971204416 in words is "nine hundred seventy-one million, two hundred four thousand, four hundred sixteen".