972975240 has 80 divisors (see below), whose sum is σ = 3270288780. Its totient is φ = 259459200.

The previous prime is 972975203. The next prime is 972975253. The reversal of 972975240 is 42579279.

It can be written as a sum of positive squares in 2 ways, for example, as 933058116 + 39917124 = 30546^2 + 6318^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 146911 + ... + 153390.

Almost surely, 2^972975240 is an apocalyptic number.

972975240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

972975240 is an abundant number, since it is smaller than the sum of its proper divisors (2297313540).

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

972975240 is a wasteful number, since it uses less digits than its factorization.

972975240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300324 (or 300311 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 972975240 is about 31192.5510338606. The cubic root of 972975240 is about 990.9093572982.

The spelling of 972975240 in words is "nine hundred seventy-two million, nine hundred seventy-five thousand, two hundred forty".