972379408 has 160 divisors (see below), whose sum is σ = 2557336320. Its totient is φ = 345876480.

The previous prime is 972379403. The next prime is 972379417. The reversal of 972379408 is 804973279.

972379408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (972379403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1745466 + ... + 1746022.

It is an arithmetic number, because the mean of its divisors is an integer number (15983352).

Almost surely, 2^972379408 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 972379408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278668160).

972379408 is an abundant number, since it is smaller than the sum of its proper divisors (1584956912).

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

972379408 is a wasteful number, since it uses less digits than its factorization.

972379408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The square root of 972379408 is about 31182.9987012154. The cubic root of 972379408 is about 990.7070444880.

The spelling of 972379408 in words is "nine hundred seventy-two million, three hundred seventy-nine thousand, four hundred eight".