972129408 has 64 divisors (see below), whose sum is σ = 2694513600. Its totient is φ = 309951488.

The previous prime is 972129397. The next prime is 972129413. The reversal of 972129408 is 804921279.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 972129408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46203 + ... + 63866.

It is an arithmetic number, because the mean of its divisors is an integer number (42101775).

Almost surely, 2^972129408 is an apocalyptic number.

It is an amenable number.

972129408 is an abundant number, since it is smaller than the sum of its proper divisors (1722384192).

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

972129408 is a wasteful number, since it uses less digits than its factorization.

972129408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110109 (or 110097 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 972129408 is about 31178.9898489351. The cubic root of 972129408 is about 990.6221331910.

The spelling of 972129408 in words is "nine hundred seventy-two million, one hundred twenty-nine thousand, four hundred eight".