972585280 has 28 divisors (see below), whose sum is σ = 2315969460. Its totient is φ = 389033984.

The previous prime is 972585269. The next prime is 972585301. The reversal of 972585280 is 82585279.

972585280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 488233216 + 484352064 = 22096^2 + 22008^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 972585280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1519345 + ... + 1519984.

It is an arithmetic number, because the mean of its divisors is an integer number (82713195).

Almost surely, 2^972585280 is an apocalyptic number.

It is an amenable number.

972585280 is an abundant number, since it is smaller than the sum of its proper divisors (1343384180).

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

972585280 is a wasteful number, since it uses less digits than its factorization.

972585280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039346 (or 3039336 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The square root of 972585280 is about 31186.2995560551. The cubic root of 972585280 is about 990.7769569957.

The spelling of 972585280 in words is "nine hundred seventy-two million, five hundred eighty-five thousand, two hundred eighty".